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Finding the Third Proportional to 314,705 and 474,671

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Solution

The third proportional to 314,705 and 474,671 is: 715,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,705 : 474,671 = 474,671 : x
  2. Step 2: Convert to fraction form
    314,705/474,671 = 474,671/x
  3. Step 3: Cross multiply
    314,705x = 474,671 × 474,671
  4. Step 4: Simplify right side
    314,705x = 225,312,558,241
  5. Step 5: Solve for x
    x = 225,312,558,241/314,705
  6. Step 6: Final answer
    x = 715,948.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.