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Finding the Third Proportional to 348,670.50 and 750,511

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Solution

The third proportional to 348,670.50 and 750,511 is: 1,615,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,670.50 : 750,511 = 750,511 : x
  2. Step 2: Convert to fraction form
    348,670.50/750,511 = 750,511/x
  3. Step 3: Cross multiply
    348,670.50x = 750,511 × 750,511
  4. Step 4: Simplify right side
    348,670.50x = 563,266,761,121
  5. Step 5: Solve for x
    x = 563,266,761,121/348,670.50
  6. Step 6: Final answer
    x = 1,615,470.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.