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Finding the Third Proportional to 247,356 and 534,072

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Solution

The third proportional to 247,356 and 534,072 is: 1,153,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,356 : 534,072 = 534,072 : x
  2. Step 2: Convert to fraction form
    247,356/534,072 = 534,072/x
  3. Step 3: Cross multiply
    247,356x = 534,072 × 534,072
  4. Step 4: Simplify right side
    247,356x = 285,232,901,184
  5. Step 5: Solve for x
    x = 285,232,901,184/247,356
  6. Step 6: Final answer
    x = 1,153,127.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.