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Finding the Third Proportional to 272,725 and 583,355

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Solution

The third proportional to 272,725 and 583,355 is: 1,247,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,725 : 583,355 = 583,355 : x
  2. Step 2: Convert to fraction form
    272,725/583,355 = 583,355/x
  3. Step 3: Cross multiply
    272,725x = 583,355 × 583,355
  4. Step 4: Simplify right side
    272,725x = 340,303,056,025
  5. Step 5: Solve for x
    x = 340,303,056,025/272,725
  6. Step 6: Final answer
    x = 1,247,788.27

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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.