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Finding the Third Proportional to 767,276 and 1,161,575

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Solution

The third proportional to 767,276 and 1,161,575 is: 1,758,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,276 : 1,161,575 = 1,161,575 : x
  2. Step 2: Convert to fraction form
    767,276/1,161,575 = 1,161,575/x
  3. Step 3: Cross multiply
    767,276x = 1,161,575 × 1,161,575
  4. Step 4: Simplify right side
    767,276x = 1,349,256,480,625
  5. Step 5: Solve for x
    x = 1,349,256,480,625/767,276
  6. Step 6: Final answer
    x = 1,758,502.13

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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.