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Finding the Third Proportional to 506,511 and 784,035

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Solution

The third proportional to 506,511 and 784,035 is: 1,213,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,511 : 784,035 = 784,035 : x
  2. Step 2: Convert to fraction form
    506,511/784,035 = 784,035/x
  3. Step 3: Cross multiply
    506,511x = 784,035 × 784,035
  4. Step 4: Simplify right side
    506,511x = 614,710,881,225
  5. Step 5: Solve for x
    x = 614,710,881,225/506,511
  6. Step 6: Final answer
    x = 1,213,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.