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Finding the Third Proportional to 234,480 and 363,618

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Solution

The third proportional to 234,480 and 363,618 is: 563,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,480 : 363,618 = 363,618 : x
  2. Step 2: Convert to fraction form
    234,480/363,618 = 363,618/x
  3. Step 3: Cross multiply
    234,480x = 363,618 × 363,618
  4. Step 4: Simplify right side
    234,480x = 132,218,049,924
  5. Step 5: Solve for x
    x = 132,218,049,924/234,480
  6. Step 6: Final answer
    x = 563,877.73

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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.