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Finding the Third Proportional to 357,442.88 and 527,848.31

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Solution

The third proportional to 357,442.88 and 527,848.31 is: 779,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,442.88 : 527,848.31 = 527,848.31 : x
  2. Step 2: Convert to fraction form
    357,442.88/527,848.31 = 527,848.31/x
  3. Step 3: Cross multiply
    357,442.88x = 527,848.31 × 527,848.31
  4. Step 4: Simplify right side
    357,442.88x = 278,623,841,009.10
  5. Step 5: Solve for x
    x = 278,623,841,009.10/357,442.88
  6. Step 6: Final answer
    x = 779,491.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.