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Finding the Third Proportional to 554,776 and 812,416

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Solution

The third proportional to 554,776 and 812,416 is: 1,189,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,776 : 812,416 = 812,416 : x
  2. Step 2: Convert to fraction form
    554,776/812,416 = 812,416/x
  3. Step 3: Cross multiply
    554,776x = 812,416 × 812,416
  4. Step 4: Simplify right side
    554,776x = 660,019,757,056
  5. Step 5: Solve for x
    x = 660,019,757,056/554,776
  6. Step 6: Final answer
    x = 1,189,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.