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Finding the Third Proportional to 306,666 and 465,534

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Solution

The third proportional to 306,666 and 465,534 is: 706,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,666 : 465,534 = 465,534 : x
  2. Step 2: Convert to fraction form
    306,666/465,534 = 465,534/x
  3. Step 3: Cross multiply
    306,666x = 465,534 × 465,534
  4. Step 4: Simplify right side
    306,666x = 216,721,905,156
  5. Step 5: Solve for x
    x = 216,721,905,156/306,666
  6. Step 6: Final answer
    x = 706,703.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.