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Finding the Third Proportional to 590,475 and 916,816.50

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Solution

The third proportional to 590,475 and 916,816.50 is: 1,423,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,475 : 916,816.50 = 916,816.50 : x
  2. Step 2: Convert to fraction form
    590,475/916,816.50 = 916,816.50/x
  3. Step 3: Cross multiply
    590,475x = 916,816.50 × 916,816.50
  4. Step 4: Simplify right side
    590,475x = 840,552,494,672.25
  5. Step 5: Solve for x
    x = 840,552,494,672.25/590,475
  6. Step 6: Final answer
    x = 1,423,519.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.