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Finding the Third Proportional to 312,254 and 676,618

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Solution

The third proportional to 312,254 and 676,618 is: 1,466,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,254 : 676,618 = 676,618 : x
  2. Step 2: Convert to fraction form
    312,254/676,618 = 676,618/x
  3. Step 3: Cross multiply
    312,254x = 676,618 × 676,618
  4. Step 4: Simplify right side
    312,254x = 457,811,917,924
  5. Step 5: Solve for x
    x = 457,811,917,924/312,254
  6. Step 6: Final answer
    x = 1,466,152.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.