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Finding the Third Proportional to 510,322 and 750,719

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Solution

The third proportional to 510,322 and 750,719 is: 1,104,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322 : 750,719 = 750,719 : x
  2. Step 2: Convert to fraction form
    510,322/750,719 = 750,719/x
  3. Step 3: Cross multiply
    510,322x = 750,719 × 750,719
  4. Step 4: Simplify right side
    510,322x = 563,579,016,961
  5. Step 5: Solve for x
    x = 563,579,016,961/510,322
  6. Step 6: Final answer
    x = 1,104,359.63

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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.