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Finding the Third Proportional to 517,511 and 785,602

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Solution

The third proportional to 517,511 and 785,602 is: 1,192,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,511 : 785,602 = 785,602 : x
  2. Step 2: Convert to fraction form
    517,511/785,602 = 785,602/x
  3. Step 3: Cross multiply
    517,511x = 785,602 × 785,602
  4. Step 4: Simplify right side
    517,511x = 617,170,502,404
  5. Step 5: Solve for x
    x = 617,170,502,404/517,511
  6. Step 6: Final answer
    x = 1,192,574.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.