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Finding the Third Proportional to 346,386 and 541,447

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Solution

The third proportional to 346,386 and 541,447 is: 846,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,386 : 541,447 = 541,447 : x
  2. Step 2: Convert to fraction form
    346,386/541,447 = 541,447/x
  3. Step 3: Cross multiply
    346,386x = 541,447 × 541,447
  4. Step 4: Simplify right side
    346,386x = 293,164,853,809
  5. Step 5: Solve for x
    x = 293,164,853,809/346,386
  6. Step 6: Final answer
    x = 846,353.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.