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Finding the Third Proportional to 306,712 and 465,585

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Solution

The third proportional to 306,712 and 465,585 is: 706,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712 : 465,585 = 465,585 : x
  2. Step 2: Convert to fraction form
    306,712/465,585 = 465,585/x
  3. Step 3: Cross multiply
    306,712x = 465,585 × 465,585
  4. Step 4: Simplify right side
    306,712x = 216,769,392,225
  5. Step 5: Solve for x
    x = 216,769,392,225/306,712
  6. Step 6: Final answer
    x = 706,752.24

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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.