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Finding the Third Proportional to 466,429.50 and 862,776

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Solution

The third proportional to 466,429.50 and 862,776 is: 1,595,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,429.50 : 862,776 = 862,776 : x
  2. Step 2: Convert to fraction form
    466,429.50/862,776 = 862,776/x
  3. Step 3: Cross multiply
    466,429.50x = 862,776 × 862,776
  4. Step 4: Simplify right side
    466,429.50x = 744,382,426,176
  5. Step 5: Solve for x
    x = 744,382,426,176/466,429.50
  6. Step 6: Final answer
    x = 1,595,916.27

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.