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Finding the Third Proportional to 467,768 and 705,862

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Solution

The third proportional to 467,768 and 705,862 is: 1,065,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,768 : 705,862 = 705,862 : x
  2. Step 2: Convert to fraction form
    467,768/705,862 = 705,862/x
  3. Step 3: Cross multiply
    467,768x = 705,862 × 705,862
  4. Step 4: Simplify right side
    467,768x = 498,241,163,044
  5. Step 5: Solve for x
    x = 498,241,163,044/467,768
  6. Step 6: Final answer
    x = 1,065,145.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.