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Finding the Third Proportional to 316,028 and 688,864

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Solution

The third proportional to 316,028 and 688,864 is: 1,501,555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,028 : 688,864 = 688,864 : x
  2. Step 2: Convert to fraction form
    316,028/688,864 = 688,864/x
  3. Step 3: Cross multiply
    316,028x = 688,864 × 688,864
  4. Step 4: Simplify right side
    316,028x = 474,533,610,496
  5. Step 5: Solve for x
    x = 474,533,610,496/316,028
  6. Step 6: Final answer
    x = 1,501,555.59

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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.