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Finding the Third Proportional to 466,835 and 741,076

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Solution

The third proportional to 466,835 and 741,076 is: 1,176,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,835 : 741,076 = 741,076 : x
  2. Step 2: Convert to fraction form
    466,835/741,076 = 741,076/x
  3. Step 3: Cross multiply
    466,835x = 741,076 × 741,076
  4. Step 4: Simplify right side
    466,835x = 549,193,637,776
  5. Step 5: Solve for x
    x = 549,193,637,776/466,835
  6. Step 6: Final answer
    x = 1,176,419.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.