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Finding the Third Proportional to 461,776 and 692,680

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Solution

The third proportional to 461,776 and 692,680 is: 1,039,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,776 : 692,680 = 692,680 : x
  2. Step 2: Convert to fraction form
    461,776/692,680 = 692,680/x
  3. Step 3: Cross multiply
    461,776x = 692,680 × 692,680
  4. Step 4: Simplify right side
    461,776x = 479,805,582,400
  5. Step 5: Solve for x
    x = 479,805,582,400/461,776
  6. Step 6: Final answer
    x = 1,039,044.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.