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Finding the Third Proportional to 458,075 and 713,289

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Solution

The third proportional to 458,075 and 713,289 is: 1,110,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,075 : 713,289 = 713,289 : x
  2. Step 2: Convert to fraction form
    458,075/713,289 = 713,289/x
  3. Step 3: Cross multiply
    458,075x = 713,289 × 713,289
  4. Step 4: Simplify right side
    458,075x = 508,781,197,521
  5. Step 5: Solve for x
    x = 508,781,197,521/458,075
  6. Step 6: Final answer
    x = 1,110,694.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.