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Finding the Third Proportional to 210,101 and 461,020

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Solution

The third proportional to 210,101 and 461,020 is: 1,011,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,101 : 461,020 = 461,020 : x
  2. Step 2: Convert to fraction form
    210,101/461,020 = 461,020/x
  3. Step 3: Cross multiply
    210,101x = 461,020 × 461,020
  4. Step 4: Simplify right side
    210,101x = 212,539,440,400
  5. Step 5: Solve for x
    x = 212,539,440,400/210,101
  6. Step 6: Final answer
    x = 1,011,606.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.