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Finding the Third Proportional to 587,776 and 879,382

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Solution

The third proportional to 587,776 and 879,382 is: 1,315,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,776 : 879,382 = 879,382 : x
  2. Step 2: Convert to fraction form
    587,776/879,382 = 879,382/x
  3. Step 3: Cross multiply
    587,776x = 879,382 × 879,382
  4. Step 4: Simplify right side
    587,776x = 773,312,701,924
  5. Step 5: Solve for x
    x = 773,312,701,924/587,776
  6. Step 6: Final answer
    x = 1,315,658.86

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