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Finding the Third Proportional to 405,531,904.50 and 832,562,275.50

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Solution

The third proportional to 405,531,904.50 and 832,562,275.50 is: 1,709,261,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,904.50 : 832,562,275.50 = 832,562,275.50 : x
  2. Step 2: Convert to fraction form
    405,531,904.50/832,562,275.50 = 832,562,275.50/x
  3. Step 3: Cross multiply
    405,531,904.50x = 832,562,275.50 × 832,562,275.50
  4. Step 4: Simplify right side
    405,531,904.50x = 693,159,942,585,737,856
  5. Step 5: Solve for x
    x = 693,159,942,585,737,856/405,531,904.50
  6. Step 6: Final answer
    x = 1,709,261,182.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.