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Finding the Third Proportional to 315,127.50 and 674,553

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Solution

The third proportional to 315,127.50 and 674,553 is: 1,443,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,127.50 : 674,553 = 674,553 : x
  2. Step 2: Convert to fraction form
    315,127.50/674,553 = 674,553/x
  3. Step 3: Cross multiply
    315,127.50x = 674,553 × 674,553
  4. Step 4: Simplify right side
    315,127.50x = 455,021,749,809
  5. Step 5: Solve for x
    x = 455,021,749,809/315,127.50
  6. Step 6: Final answer
    x = 1,443,929.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.