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Finding the Third Proportional to 316,618 and 646,154

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Solution

The third proportional to 316,618 and 646,154 is: 1,318,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,618 : 646,154 = 646,154 : x
  2. Step 2: Convert to fraction form
    316,618/646,154 = 646,154/x
  3. Step 3: Cross multiply
    316,618x = 646,154 × 646,154
  4. Step 4: Simplify right side
    316,618x = 417,514,991,716
  5. Step 5: Solve for x
    x = 417,514,991,716/316,618
  6. Step 6: Final answer
    x = 1,318,671.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.