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Finding the Third Proportional to 249,736.61 and 539,368.88

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Solution

The third proportional to 249,736.61 and 539,368.88 is: 1,164,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,736.61 : 539,368.88 = 539,368.88 : x
  2. Step 2: Convert to fraction form
    249,736.61/539,368.88 = 539,368.88/x
  3. Step 3: Cross multiply
    249,736.61x = 539,368.88 × 539,368.88
  4. Step 4: Simplify right side
    249,736.61x = 290,918,783,318.77
  5. Step 5: Solve for x
    x = 290,918,783,318.77/249,736.61
  6. Step 6: Final answer
    x = 1,164,902.45

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Why These Related Problems?

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