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Finding the Third Proportional to 272,430 and 596,605.50

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Solution

The third proportional to 272,430 and 596,605.50 is: 1,306,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430 : 596,605.50 = 596,605.50 : x
  2. Step 2: Convert to fraction form
    272,430/596,605.50 = 596,605.50/x
  3. Step 3: Cross multiply
    272,430x = 596,605.50 × 596,605.50
  4. Step 4: Simplify right side
    272,430x = 355,938,122,630.25
  5. Step 5: Solve for x
    x = 355,938,122,630.25/272,430
  6. Step 6: Final answer
    x = 1,306,530.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.