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Finding the Third Proportional to 574,516.50 and 805,063.50

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Solution

The third proportional to 574,516.50 and 805,063.50 is: 1,128,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,516.50 : 805,063.50 = 805,063.50 : x
  2. Step 2: Convert to fraction form
    574,516.50/805,063.50 = 805,063.50/x
  3. Step 3: Cross multiply
    574,516.50x = 805,063.50 × 805,063.50
  4. Step 4: Simplify right side
    574,516.50x = 648,127,239,032.25
  5. Step 5: Solve for x
    x = 648,127,239,032.25/574,516.50
  6. Step 6: Final answer
    x = 1,128,126.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.