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Finding the Third Proportional to 247,995 and 528,434

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Solution

The third proportional to 247,995 and 528,434 is: 1,126,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,995 : 528,434 = 528,434 : x
  2. Step 2: Convert to fraction form
    247,995/528,434 = 528,434/x
  3. Step 3: Cross multiply
    247,995x = 528,434 × 528,434
  4. Step 4: Simplify right side
    247,995x = 279,242,492,356
  5. Step 5: Solve for x
    x = 279,242,492,356/247,995
  6. Step 6: Final answer
    x = 1,126,000.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.