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Finding the Third Proportional to 249,077.53 and 515,878.88

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Solution

The third proportional to 249,077.53 and 515,878.88 is: 1,068,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,077.53 : 515,878.88 = 515,878.88 : x
  2. Step 2: Convert to fraction form
    249,077.53/515,878.88 = 515,878.88/x
  3. Step 3: Cross multiply
    249,077.53x = 515,878.88 × 515,878.88
  4. Step 4: Simplify right side
    249,077.53x = 266,131,013,671.27
  5. Step 5: Solve for x
    x = 266,131,013,671.27/249,077.53
  6. Step 6: Final answer
    x = 1,068,466.56

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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.