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Finding the Third Proportional to 340,160 and 740,260

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Solution

The third proportional to 340,160 and 740,260 is: 1,610,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,160 : 740,260 = 740,260 : x
  2. Step 2: Convert to fraction form
    340,160/740,260 = 740,260/x
  3. Step 3: Cross multiply
    340,160x = 740,260 × 740,260
  4. Step 4: Simplify right side
    340,160x = 547,984,867,600
  5. Step 5: Solve for x
    x = 547,984,867,600/340,160
  6. Step 6: Final answer
    x = 1,610,962.10

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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.