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Finding the Third Proportional to 341.58 and 740.95

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Solution

The third proportional to 341.58 and 740.95 is: 1,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.58 : 740.95 = 740.95 : x
  2. Step 2: Convert to fraction form
    341.58/740.95 = 740.95/x
  3. Step 3: Cross multiply
    341.58x = 740.95 × 740.95
  4. Step 4: Simplify right side
    341.58x = 549,011.53
  5. Step 5: Solve for x
    x = 549,011.53/341.58
  6. Step 6: Final answer
    x = 1,607.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.