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Finding the Third Proportional to 314,697 and 474,658

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Solution

The third proportional to 314,697 and 474,658 is: 715,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,697 : 474,658 = 474,658 : x
  2. Step 2: Convert to fraction form
    314,697/474,658 = 474,658/x
  3. Step 3: Cross multiply
    314,697x = 474,658 × 474,658
  4. Step 4: Simplify right side
    314,697x = 225,300,216,964
  5. Step 5: Solve for x
    x = 225,300,216,964/314,697
  6. Step 6: Final answer
    x = 715,927.44

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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.