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Finding the Third Proportional to 234,749 and 506,002

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Solution

The third proportional to 234,749 and 506,002 is: 1,090,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,749 : 506,002 = 506,002 : x
  2. Step 2: Convert to fraction form
    234,749/506,002 = 506,002/x
  3. Step 3: Cross multiply
    234,749x = 506,002 × 506,002
  4. Step 4: Simplify right side
    234,749x = 256,038,024,004
  5. Step 5: Solve for x
    x = 256,038,024,004/234,749
  6. Step 6: Final answer
    x = 1,090,688.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.