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Finding the Third Proportional to 518,963.06 and 730,495.13

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Solution

The third proportional to 518,963.06 and 730,495.13 is: 1,028,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,963.06 : 730,495.13 = 730,495.13 : x
  2. Step 2: Convert to fraction form
    518,963.06/730,495.13 = 730,495.13/x
  3. Step 3: Cross multiply
    518,963.06x = 730,495.13 × 730,495.13
  4. Step 4: Simplify right side
    518,963.06x = 533,623,127,648.77
  5. Step 5: Solve for x
    x = 533,623,127,648.77/518,963.06
  6. Step 6: Final answer
    x = 1,028,248.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.