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Finding the Third Proportional to 246,428 and 360,857

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Solution

The third proportional to 246,428 and 360,857 is: 528,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,428 : 360,857 = 360,857 : x
  2. Step 2: Convert to fraction form
    246,428/360,857 = 360,857/x
  3. Step 3: Cross multiply
    246,428x = 360,857 × 360,857
  4. Step 4: Simplify right side
    246,428x = 130,217,774,449
  5. Step 5: Solve for x
    x = 130,217,774,449/246,428
  6. Step 6: Final answer
    x = 528,421.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.