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Finding the Third Proportional to 218,368 and 477,470

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Solution

The third proportional to 218,368 and 477,470 is: 1,044,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,368 : 477,470 = 477,470 : x
  2. Step 2: Convert to fraction form
    218,368/477,470 = 477,470/x
  3. Step 3: Cross multiply
    218,368x = 477,470 × 477,470
  4. Step 4: Simplify right side
    218,368x = 227,977,600,900
  5. Step 5: Solve for x
    x = 227,977,600,900/218,368
  6. Step 6: Final answer
    x = 1,044,006.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.