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Finding the Third Proportional to 513,228 and 750,340.50

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Solution

The third proportional to 513,228 and 750,340.50 is: 1,096,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,228 : 750,340.50 = 750,340.50 : x
  2. Step 2: Convert to fraction form
    513,228/750,340.50 = 750,340.50/x
  3. Step 3: Cross multiply
    513,228x = 750,340.50 × 750,340.50
  4. Step 4: Simplify right side
    513,228x = 563,010,865,940.25
  5. Step 5: Solve for x
    x = 563,010,865,940.25/513,228
  6. Step 6: Final answer
    x = 1,096,999.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.