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Finding the Third Proportional to 360,072 and 580,009.50

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Solution

The third proportional to 360,072 and 580,009.50 is: 934,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,072 : 580,009.50 = 580,009.50 : x
  2. Step 2: Convert to fraction form
    360,072/580,009.50 = 580,009.50/x
  3. Step 3: Cross multiply
    360,072x = 580,009.50 × 580,009.50
  4. Step 4: Simplify right side
    360,072x = 336,411,020,090.25
  5. Step 5: Solve for x
    x = 336,411,020,090.25/360,072
  6. Step 6: Final answer
    x = 934,288.20

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.