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Finding the Third Proportional to 249,374.25 and 516,487.50

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Solution

The third proportional to 249,374.25 and 516,487.50 is: 1,069,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,374.25 : 516,487.50 = 516,487.50 : x
  2. Step 2: Convert to fraction form
    249,374.25/516,487.50 = 516,487.50/x
  3. Step 3: Cross multiply
    249,374.25x = 516,487.50 × 516,487.50
  4. Step 4: Simplify right side
    249,374.25x = 266,759,337,656.25
  5. Step 5: Solve for x
    x = 266,759,337,656.25/249,374.25
  6. Step 6: Final answer
    x = 1,069,714.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.