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Finding the Third Proportional to 305,090 and 466,715

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Solution

The third proportional to 305,090 and 466,715 is: 713,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,090 : 466,715 = 466,715 : x
  2. Step 2: Convert to fraction form
    305,090/466,715 = 466,715/x
  3. Step 3: Cross multiply
    305,090x = 466,715 × 466,715
  4. Step 4: Simplify right side
    305,090x = 217,822,891,225
  5. Step 5: Solve for x
    x = 217,822,891,225/305,090
  6. Step 6: Final answer
    x = 713,962.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.