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Finding the Third Proportional to 429,414.19 and 583,192.69

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Solution

The third proportional to 429,414.19 and 583,192.69 is: 792,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414.19 : 583,192.69 = 583,192.69 : x
  2. Step 2: Convert to fraction form
    429,414.19/583,192.69 = 583,192.69/x
  3. Step 3: Cross multiply
    429,414.19x = 583,192.69 × 583,192.69
  4. Step 4: Simplify right side
    429,414.19x = 340,113,710,753.47
  5. Step 5: Solve for x
    x = 340,113,710,753.47/429,414.19
  6. Step 6: Final answer
    x = 792,041.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.