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Finding the Third Proportional to 464,964 and 718,478

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Solution

The third proportional to 464,964 and 718,478 is: 1,110,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,964 : 718,478 = 718,478 : x
  2. Step 2: Convert to fraction form
    464,964/718,478 = 718,478/x
  3. Step 3: Cross multiply
    464,964x = 718,478 × 718,478
  4. Step 4: Simplify right side
    464,964x = 516,210,636,484
  5. Step 5: Solve for x
    x = 516,210,636,484/464,964
  6. Step 6: Final answer
    x = 1,110,216.35

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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.