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Finding the Third Proportional to 593,301 and 840,070

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Solution

The third proportional to 593,301 and 840,070 is: 1,189,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,301 : 840,070 = 840,070 : x
  2. Step 2: Convert to fraction form
    593,301/840,070 = 840,070/x
  3. Step 3: Cross multiply
    593,301x = 840,070 × 840,070
  4. Step 4: Simplify right side
    593,301x = 705,717,604,900
  5. Step 5: Solve for x
    x = 705,717,604,900/593,301
  6. Step 6: Final answer
    x = 1,189,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.