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Finding the Third Proportional to 375,456 and 586,224

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Solution

The third proportional to 375,456 and 586,224 is: 915,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,456 : 586,224 = 586,224 : x
  2. Step 2: Convert to fraction form
    375,456/586,224 = 586,224/x
  3. Step 3: Cross multiply
    375,456x = 586,224 × 586,224
  4. Step 4: Simplify right side
    375,456x = 343,658,578,176
  5. Step 5: Solve for x
    x = 343,658,578,176/375,456
  6. Step 6: Final answer
    x = 915,309.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.