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Finding the Third Proportional to 388,612.50 and 916,053

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Solution

The third proportional to 388,612.50 and 916,053 is: 2,159,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,612.50 : 916,053 = 916,053 : x
  2. Step 2: Convert to fraction form
    388,612.50/916,053 = 916,053/x
  3. Step 3: Cross multiply
    388,612.50x = 916,053 × 916,053
  4. Step 4: Simplify right side
    388,612.50x = 839,153,098,809
  5. Step 5: Solve for x
    x = 839,153,098,809/388,612.50
  6. Step 6: Final answer
    x = 2,159,356.94

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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.