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Finding the Third Proportional to 272,729 and 583,363

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Solution

The third proportional to 272,729 and 583,363 is: 1,247,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,729 : 583,363 = 583,363 : x
  2. Step 2: Convert to fraction form
    272,729/583,363 = 583,363/x
  3. Step 3: Cross multiply
    272,729x = 583,363 × 583,363
  4. Step 4: Simplify right side
    272,729x = 340,312,389,769
  5. Step 5: Solve for x
    x = 340,312,389,769/272,729
  6. Step 6: Final answer
    x = 1,247,804.19

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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.