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Finding the Third Proportional to 391,875 and 588,340.50

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Solution

The third proportional to 391,875 and 588,340.50 is: 883,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,875 : 588,340.50 = 588,340.50 : x
  2. Step 2: Convert to fraction form
    391,875/588,340.50 = 588,340.50/x
  3. Step 3: Cross multiply
    391,875x = 588,340.50 × 588,340.50
  4. Step 4: Simplify right side
    391,875x = 346,144,543,940.25
  5. Step 5: Solve for x
    x = 346,144,543,940.25/391,875
  6. Step 6: Final answer
    x = 883,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.