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Finding the Third Proportional to 432,748 and 665,574

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Solution

The third proportional to 432,748 and 665,574 is: 1,023,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,748 : 665,574 = 665,574 : x
  2. Step 2: Convert to fraction form
    432,748/665,574 = 665,574/x
  3. Step 3: Cross multiply
    432,748x = 665,574 × 665,574
  4. Step 4: Simplify right side
    432,748x = 442,988,749,476
  5. Step 5: Solve for x
    x = 442,988,749,476/432,748
  6. Step 6: Final answer
    x = 1,023,664.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.