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Finding the Third Proportional to 555,624 and 829,776

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Solution

The third proportional to 555,624 and 829,776 is: 1,239,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,624 : 829,776 = 829,776 : x
  2. Step 2: Convert to fraction form
    555,624/829,776 = 829,776/x
  3. Step 3: Cross multiply
    555,624x = 829,776 × 829,776
  4. Step 4: Simplify right side
    555,624x = 688,528,210,176
  5. Step 5: Solve for x
    x = 688,528,210,176/555,624
  6. Step 6: Final answer
    x = 1,239,198.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.