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Finding the Third Proportional to 370,136 and 803,692

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Solution

The third proportional to 370,136 and 803,692 is: 1,745,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,136 : 803,692 = 803,692 : x
  2. Step 2: Convert to fraction form
    370,136/803,692 = 803,692/x
  3. Step 3: Cross multiply
    370,136x = 803,692 × 803,692
  4. Step 4: Simplify right side
    370,136x = 645,920,830,864
  5. Step 5: Solve for x
    x = 645,920,830,864/370,136
  6. Step 6: Final answer
    x = 1,745,090.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.