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Finding the Third Proportional to 590,487 and 940,027.50

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Solution

The third proportional to 590,487 and 940,027.50 is: 1,496,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,487 : 940,027.50 = 940,027.50 : x
  2. Step 2: Convert to fraction form
    590,487/940,027.50 = 940,027.50/x
  3. Step 3: Cross multiply
    590,487x = 940,027.50 × 940,027.50
  4. Step 4: Simplify right side
    590,487x = 883,651,700,756.25
  5. Step 5: Solve for x
    x = 883,651,700,756.25/590,487
  6. Step 6: Final answer
    x = 1,496,479.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.