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Finding the Third Proportional to 314,594 and 679,236

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Solution

The third proportional to 314,594 and 679,236 is: 1,466,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,594 : 679,236 = 679,236 : x
  2. Step 2: Convert to fraction form
    314,594/679,236 = 679,236/x
  3. Step 3: Cross multiply
    314,594x = 679,236 × 679,236
  4. Step 4: Simplify right side
    314,594x = 461,361,543,696
  5. Step 5: Solve for x
    x = 461,361,543,696/314,594
  6. Step 6: Final answer
    x = 1,466,530.02

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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.