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Finding the Third Proportional to 384,312.50 and 547,460

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Solution

The third proportional to 384,312.50 and 547,460 is: 779,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,312.50 : 547,460 = 547,460 : x
  2. Step 2: Convert to fraction form
    384,312.50/547,460 = 547,460/x
  3. Step 3: Cross multiply
    384,312.50x = 547,460 × 547,460
  4. Step 4: Simplify right side
    384,312.50x = 299,712,451,600
  5. Step 5: Solve for x
    x = 299,712,451,600/384,312.50
  6. Step 6: Final answer
    x = 779,866.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.