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Finding the Third Proportional to 295,617 and 648,459

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Solution

The third proportional to 295,617 and 648,459 is: 1,422,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,617 : 648,459 = 648,459 : x
  2. Step 2: Convert to fraction form
    295,617/648,459 = 648,459/x
  3. Step 3: Cross multiply
    295,617x = 648,459 × 648,459
  4. Step 4: Simplify right side
    295,617x = 420,499,074,681
  5. Step 5: Solve for x
    x = 420,499,074,681/295,617
  6. Step 6: Final answer
    x = 1,422,445.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.