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Finding the Third Proportional to 390,528 and 590,112

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Solution

The third proportional to 390,528 and 590,112 is: 891,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,528 : 590,112 = 590,112 : x
  2. Step 2: Convert to fraction form
    390,528/590,112 = 590,112/x
  3. Step 3: Cross multiply
    390,528x = 590,112 × 590,112
  4. Step 4: Simplify right side
    390,528x = 348,232,172,544
  5. Step 5: Solve for x
    x = 348,232,172,544/390,528
  6. Step 6: Final answer
    x = 891,695.79

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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.