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Finding the Third Proportional to 468,964 and 725,862

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Solution

The third proportional to 468,964 and 725,862 is: 1,123,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,964 : 725,862 = 725,862 : x
  2. Step 2: Convert to fraction form
    468,964/725,862 = 725,862/x
  3. Step 3: Cross multiply
    468,964x = 725,862 × 725,862
  4. Step 4: Simplify right side
    468,964x = 526,875,643,044
  5. Step 5: Solve for x
    x = 526,875,643,044/468,964
  6. Step 6: Final answer
    x = 1,123,488.46

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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.