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Finding the Third Proportional to 349,114 and 751,688

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Solution

The third proportional to 349,114 and 751,688 is: 1,618,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,114 : 751,688 = 751,688 : x
  2. Step 2: Convert to fraction form
    349,114/751,688 = 751,688/x
  3. Step 3: Cross multiply
    349,114x = 751,688 × 751,688
  4. Step 4: Simplify right side
    349,114x = 565,034,849,344
  5. Step 5: Solve for x
    x = 565,034,849,344/349,114
  6. Step 6: Final answer
    x = 1,618,482.36

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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.