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Finding the Third Proportional to 322,064 and 473,248

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Solution

The third proportional to 322,064 and 473,248 is: 695,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,064 : 473,248 = 473,248 : x
  2. Step 2: Convert to fraction form
    322,064/473,248 = 473,248/x
  3. Step 3: Cross multiply
    322,064x = 473,248 × 473,248
  4. Step 4: Simplify right side
    322,064x = 223,963,669,504
  5. Step 5: Solve for x
    x = 223,963,669,504/322,064
  6. Step 6: Final answer
    x = 695,401.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.