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Finding the Third Proportional to 349,690.50 and 750,348

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Solution

The third proportional to 349,690.50 and 750,348 is: 1,610,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,690.50 : 750,348 = 750,348 : x
  2. Step 2: Convert to fraction form
    349,690.50/750,348 = 750,348/x
  3. Step 3: Cross multiply
    349,690.50x = 750,348 × 750,348
  4. Step 4: Simplify right side
    349,690.50x = 563,022,121,104
  5. Step 5: Solve for x
    x = 563,022,121,104/349,690.50
  6. Step 6: Final answer
    x = 1,610,058.38

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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.