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Finding the Third Proportional to 306,712 and 465,587

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Solution

The third proportional to 306,712 and 465,587 is: 706,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712 : 465,587 = 465,587 : x
  2. Step 2: Convert to fraction form
    306,712/465,587 = 465,587/x
  3. Step 3: Cross multiply
    306,712x = 465,587 × 465,587
  4. Step 4: Simplify right side
    306,712x = 216,771,254,569
  5. Step 5: Solve for x
    x = 216,771,254,569/306,712
  6. Step 6: Final answer
    x = 706,758.31

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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.