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Finding the Third Proportional to 531,452 and 807,020

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Solution

The third proportional to 531,452 and 807,020 is: 1,225,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,452 : 807,020 = 807,020 : x
  2. Step 2: Convert to fraction form
    531,452/807,020 = 807,020/x
  3. Step 3: Cross multiply
    531,452x = 807,020 × 807,020
  4. Step 4: Simplify right side
    531,452x = 651,281,280,400
  5. Step 5: Solve for x
    x = 651,281,280,400/531,452
  6. Step 6: Final answer
    x = 1,225,475.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.