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Finding the Third Proportional to 508,730 and 787,364

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Solution

The third proportional to 508,730 and 787,364 is: 1,218,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,730 : 787,364 = 787,364 : x
  2. Step 2: Convert to fraction form
    508,730/787,364 = 787,364/x
  3. Step 3: Cross multiply
    508,730x = 787,364 × 787,364
  4. Step 4: Simplify right side
    508,730x = 619,942,068,496
  5. Step 5: Solve for x
    x = 619,942,068,496/508,730
  6. Step 6: Final answer
    x = 1,218,607.25

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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.