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Finding the Third Proportional to 576,156 and 829,916.50

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Solution

The third proportional to 576,156 and 829,916.50 is: 1,195,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,156 : 829,916.50 = 829,916.50 : x
  2. Step 2: Convert to fraction form
    576,156/829,916.50 = 829,916.50/x
  3. Step 3: Cross multiply
    576,156x = 829,916.50 × 829,916.50
  4. Step 4: Simplify right side
    576,156x = 688,761,396,972.25
  5. Step 5: Solve for x
    x = 688,761,396,972.25/576,156
  6. Step 6: Final answer
    x = 1,195,442.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.