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Finding the Third Proportional to 535,101 and 784,913

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Solution

The third proportional to 535,101 and 784,913 is: 1,151,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,101 : 784,913 = 784,913 : x
  2. Step 2: Convert to fraction form
    535,101/784,913 = 784,913/x
  3. Step 3: Cross multiply
    535,101x = 784,913 × 784,913
  4. Step 4: Simplify right side
    535,101x = 616,088,417,569
  5. Step 5: Solve for x
    x = 616,088,417,569/535,101
  6. Step 6: Final answer
    x = 1,151,349.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.