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Finding the Third Proportional to 314,499 and 679,053

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Solution

The third proportional to 314,499 and 679,053 is: 1,466,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,499 : 679,053 = 679,053 : x
  2. Step 2: Convert to fraction form
    314,499/679,053 = 679,053/x
  3. Step 3: Cross multiply
    314,499x = 679,053 × 679,053
  4. Step 4: Simplify right side
    314,499x = 461,112,976,809
  5. Step 5: Solve for x
    x = 461,112,976,809/314,499
  6. Step 6: Final answer
    x = 1,466,182.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.