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Finding the Third Proportional to 350,045 and 748,072

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Solution

The third proportional to 350,045 and 748,072 is: 1,598,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,045 : 748,072 = 748,072 : x
  2. Step 2: Convert to fraction form
    350,045/748,072 = 748,072/x
  3. Step 3: Cross multiply
    350,045x = 748,072 × 748,072
  4. Step 4: Simplify right side
    350,045x = 559,611,717,184
  5. Step 5: Solve for x
    x = 559,611,717,184/350,045
  6. Step 6: Final answer
    x = 1,598,685.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.