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Finding the Third Proportional to 349,091 and 760,390

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Solution

The third proportional to 349,091 and 760,390 is: 1,656,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,091 : 760,390 = 760,390 : x
  2. Step 2: Convert to fraction form
    349,091/760,390 = 760,390/x
  3. Step 3: Cross multiply
    349,091x = 760,390 × 760,390
  4. Step 4: Simplify right side
    349,091x = 578,192,952,100
  5. Step 5: Solve for x
    x = 578,192,952,100/349,091
  6. Step 6: Final answer
    x = 1,656,281.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.