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Finding the Third Proportional to 301,618 and 466,597

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Solution

The third proportional to 301,618 and 466,597 is: 721,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,618 : 466,597 = 466,597 : x
  2. Step 2: Convert to fraction form
    301,618/466,597 = 466,597/x
  3. Step 3: Cross multiply
    301,618x = 466,597 × 466,597
  4. Step 4: Simplify right side
    301,618x = 217,712,760,409
  5. Step 5: Solve for x
    x = 217,712,760,409/301,618
  6. Step 6: Final answer
    x = 721,816.21

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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.