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Finding the Third Proportional to 497,575 and 749,946

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Solution

The third proportional to 497,575 and 749,946 is: 1,130,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,575 : 749,946 = 749,946 : x
  2. Step 2: Convert to fraction form
    497,575/749,946 = 749,946/x
  3. Step 3: Cross multiply
    497,575x = 749,946 × 749,946
  4. Step 4: Simplify right side
    497,575x = 562,419,002,916
  5. Step 5: Solve for x
    x = 562,419,002,916/497,575
  6. Step 6: Final answer
    x = 1,130,320.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.