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Finding the Third Proportional to 510,322 and 750,718

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Solution

The third proportional to 510,322 and 750,718 is: 1,104,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322 : 750,718 = 750,718 : x
  2. Step 2: Convert to fraction form
    510,322/750,718 = 750,718/x
  3. Step 3: Cross multiply
    510,322x = 750,718 × 750,718
  4. Step 4: Simplify right side
    510,322x = 563,577,515,524
  5. Step 5: Solve for x
    x = 563,577,515,524/510,322
  6. Step 6: Final answer
    x = 1,104,356.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.