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Finding the Third Proportional to 245,144 and 506,032

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Solution

The third proportional to 245,144 and 506,032 is: 1,044,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,144 : 506,032 = 506,032 : x
  2. Step 2: Convert to fraction form
    245,144/506,032 = 506,032/x
  3. Step 3: Cross multiply
    245,144x = 506,032 × 506,032
  4. Step 4: Simplify right side
    245,144x = 256,068,385,024
  5. Step 5: Solve for x
    x = 256,068,385,024/245,144
  6. Step 6: Final answer
    x = 1,044,563.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.