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Finding the Third Proportional to 272,789 and 583,483

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Solution

The third proportional to 272,789 and 583,483 is: 1,248,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,789 : 583,483 = 583,483 : x
  2. Step 2: Convert to fraction form
    272,789/583,483 = 583,483/x
  3. Step 3: Cross multiply
    272,789x = 583,483 × 583,483
  4. Step 4: Simplify right side
    272,789x = 340,452,411,289
  5. Step 5: Solve for x
    x = 340,452,411,289/272,789
  6. Step 6: Final answer
    x = 1,248,043.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.