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Finding the Third Proportional to 358,702.17 and 547,587.21

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Solution

The third proportional to 358,702.17 and 547,587.21 is: 835,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,702.17 : 547,587.21 = 547,587.21 : x
  2. Step 2: Convert to fraction form
    358,702.17/547,587.21 = 547,587.21/x
  3. Step 3: Cross multiply
    358,702.17x = 547,587.21 × 547,587.21
  4. Step 4: Simplify right side
    358,702.17x = 299,851,753,582.31
  5. Step 5: Solve for x
    x = 299,851,753,582.31/358,702.17
  6. Step 6: Final answer
    x = 835,935.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.