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Finding the Third Proportional to 249,904.50 and 539,724

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Solution

The third proportional to 249,904.50 and 539,724 is: 1,165,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,904.50 : 539,724 = 539,724 : x
  2. Step 2: Convert to fraction form
    249,904.50/539,724 = 539,724/x
  3. Step 3: Cross multiply
    249,904.50x = 539,724 × 539,724
  4. Step 4: Simplify right side
    249,904.50x = 291,301,996,176
  5. Step 5: Solve for x
    x = 291,301,996,176/249,904.50
  6. Step 6: Final answer
    x = 1,165,653.26

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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.