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Finding the Third Proportional to 341,597 and 510,511

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Solution

The third proportional to 341,597 and 510,511 is: 762,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,597 : 510,511 = 510,511 : x
  2. Step 2: Convert to fraction form
    341,597/510,511 = 510,511/x
  3. Step 3: Cross multiply
    341,597x = 510,511 × 510,511
  4. Step 4: Simplify right side
    341,597x = 260,621,481,121
  5. Step 5: Solve for x
    x = 260,621,481,121/341,597
  6. Step 6: Final answer
    x = 762,950.15

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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.