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Finding the Third Proportional to 245,442 and 506,544

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Solution

The third proportional to 245,442 and 506,544 is: 1,045,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,442 : 506,544 = 506,544 : x
  2. Step 2: Convert to fraction form
    245,442/506,544 = 506,544/x
  3. Step 3: Cross multiply
    245,442x = 506,544 × 506,544
  4. Step 4: Simplify right side
    245,442x = 256,586,823,936
  5. Step 5: Solve for x
    x = 256,586,823,936/245,442
  6. Step 6: Final answer
    x = 1,045,407.16

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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.