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Finding the Third Proportional to 340,541.25 and 716,373

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Solution

The third proportional to 340,541.25 and 716,373 is: 1,506,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,541.25 : 716,373 = 716,373 : x
  2. Step 2: Convert to fraction form
    340,541.25/716,373 = 716,373/x
  3. Step 3: Cross multiply
    340,541.25x = 716,373 × 716,373
  4. Step 4: Simplify right side
    340,541.25x = 513,190,275,129
  5. Step 5: Solve for x
    x = 513,190,275,129/340,541.25
  6. Step 6: Final answer
    x = 1,506,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.