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Finding the Third Proportional to 249,724 and 539,350.50

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Solution

The third proportional to 249,724 and 539,350.50 is: 1,164,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,724 : 539,350.50 = 539,350.50 : x
  2. Step 2: Convert to fraction form
    249,724/539,350.50 = 539,350.50/x
  3. Step 3: Cross multiply
    249,724x = 539,350.50 × 539,350.50
  4. Step 4: Simplify right side
    249,724x = 290,898,961,850.25
  5. Step 5: Solve for x
    x = 290,898,961,850.25/249,724
  6. Step 6: Final answer
    x = 1,164,881.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.