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Finding the Third Proportional to 210,283 and 461,277.13

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Solution

The third proportional to 210,283 and 461,277.13 is: 1,011,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,283 : 461,277.13 = 461,277.13 : x
  2. Step 2: Convert to fraction form
    210,283/461,277.13 = 461,277.13/x
  3. Step 3: Cross multiply
    210,283x = 461,277.13 × 461,277.13
  4. Step 4: Simplify right side
    210,283x = 212,776,586,048.27
  5. Step 5: Solve for x
    x = 212,776,586,048.27/210,283
  6. Step 6: Final answer
    x = 1,011,858.24

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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.