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Finding the Third Proportional to 345,201 and 754,959

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Solution

The third proportional to 345,201 and 754,959 is: 1,651,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,201 : 754,959 = 754,959 : x
  2. Step 2: Convert to fraction form
    345,201/754,959 = 754,959/x
  3. Step 3: Cross multiply
    345,201x = 754,959 × 754,959
  4. Step 4: Simplify right side
    345,201x = 569,963,091,681
  5. Step 5: Solve for x
    x = 569,963,091,681/345,201
  6. Step 6: Final answer
    x = 1,651,104.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.