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Finding the Third Proportional to 315,618 and 686,532

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Solution

The third proportional to 315,618 and 686,532 is: 1,493,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,618 : 686,532 = 686,532 : x
  2. Step 2: Convert to fraction form
    315,618/686,532 = 686,532/x
  3. Step 3: Cross multiply
    315,618x = 686,532 × 686,532
  4. Step 4: Simplify right side
    315,618x = 471,326,187,024
  5. Step 5: Solve for x
    x = 471,326,187,024/315,618
  6. Step 6: Final answer
    x = 1,493,343.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.