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Finding the Third Proportional to 249,097.78 and 515,911.78

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Solution

The third proportional to 249,097.78 and 515,911.78 is: 1,068,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,097.78 : 515,911.78 = 515,911.78 : x
  2. Step 2: Convert to fraction form
    249,097.78/515,911.78 = 515,911.78/x
  3. Step 3: Cross multiply
    249,097.78x = 515,911.78 × 515,911.78
  4. Step 4: Simplify right side
    249,097.78x = 266,164,966,032.55
  5. Step 5: Solve for x
    x = 266,164,966,032.55/249,097.78
  6. Step 6: Final answer
    x = 1,068,516.00

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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.