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Finding the Third Proportional to 430,653 and 661,045.50

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Solution

The third proportional to 430,653 and 661,045.50 is: 1,014,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,653 : 661,045.50 = 661,045.50 : x
  2. Step 2: Convert to fraction form
    430,653/661,045.50 = 661,045.50/x
  3. Step 3: Cross multiply
    430,653x = 661,045.50 × 661,045.50
  4. Step 4: Simplify right side
    430,653x = 436,981,153,070.25
  5. Step 5: Solve for x
    x = 436,981,153,070.25/430,653
  6. Step 6: Final answer
    x = 1,014,694.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.