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Finding the Third Proportional to 456,058 and 709,347

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Solution

The third proportional to 456,058 and 709,347 is: 1,103,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,058 : 709,347 = 709,347 : x
  2. Step 2: Convert to fraction form
    456,058/709,347 = 709,347/x
  3. Step 3: Cross multiply
    456,058x = 709,347 × 709,347
  4. Step 4: Simplify right side
    456,058x = 503,173,166,409
  5. Step 5: Solve for x
    x = 503,173,166,409/456,058
  6. Step 6: Final answer
    x = 1,103,309.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.