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Finding the Third Proportional to 345,020 and 731,052

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Solution

The third proportional to 345,020 and 731,052 is: 1,549,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,020 : 731,052 = 731,052 : x
  2. Step 2: Convert to fraction form
    345,020/731,052 = 731,052/x
  3. Step 3: Cross multiply
    345,020x = 731,052 × 731,052
  4. Step 4: Simplify right side
    345,020x = 534,437,026,704
  5. Step 5: Solve for x
    x = 534,437,026,704/345,020
  6. Step 6: Final answer
    x = 1,549,003.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.