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Finding the Third Proportional to 249,066.07 and 515,854.48

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Solution

The third proportional to 249,066.07 and 515,854.48 is: 1,068,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,066.07 : 515,854.48 = 515,854.48 : x
  2. Step 2: Convert to fraction form
    249,066.07/515,854.48 = 515,854.48/x
  3. Step 3: Cross multiply
    249,066.07x = 515,854.48 × 515,854.48
  4. Step 4: Simplify right side
    249,066.07x = 266,105,840,989.57
  5. Step 5: Solve for x
    x = 266,105,840,989.57/249,066.07
  6. Step 6: Final answer
    x = 1,068,414.66

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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.