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Finding the Third Proportional to 388,598 and 916,023

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Solution

The third proportional to 388,598 and 916,023 is: 2,159,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,598 : 916,023 = 916,023 : x
  2. Step 2: Convert to fraction form
    388,598/916,023 = 916,023/x
  3. Step 3: Cross multiply
    388,598x = 916,023 × 916,023
  4. Step 4: Simplify right side
    388,598x = 839,098,136,529
  5. Step 5: Solve for x
    x = 839,098,136,529/388,598
  6. Step 6: Final answer
    x = 2,159,296.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.