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Finding the Third Proportional to 249,528 and 405,436

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Solution

The third proportional to 249,528 and 405,436 is: 658,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,528 : 405,436 = 405,436 : x
  2. Step 2: Convert to fraction form
    249,528/405,436 = 405,436/x
  3. Step 3: Cross multiply
    249,528x = 405,436 × 405,436
  4. Step 4: Simplify right side
    249,528x = 164,378,350,096
  5. Step 5: Solve for x
    x = 164,378,350,096/249,528
  6. Step 6: Final answer
    x = 658,757.13

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.