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Finding the Third Proportional to 314,564 and 679,184

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Solution

The third proportional to 314,564 and 679,184 is: 1,466,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,564 : 679,184 = 679,184 : x
  2. Step 2: Convert to fraction form
    314,564/679,184 = 679,184/x
  3. Step 3: Cross multiply
    314,564x = 679,184 × 679,184
  4. Step 4: Simplify right side
    314,564x = 461,290,905,856
  5. Step 5: Solve for x
    x = 461,290,905,856/314,564
  6. Step 6: Final answer
    x = 1,466,445.32

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Why These Related Problems?

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