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Finding the Third Proportional to 363,058 and 742,153

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Solution

The third proportional to 363,058 and 742,153 is: 1,517,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,058 : 742,153 = 742,153 : x
  2. Step 2: Convert to fraction form
    363,058/742,153 = 742,153/x
  3. Step 3: Cross multiply
    363,058x = 742,153 × 742,153
  4. Step 4: Simplify right side
    363,058x = 550,791,075,409
  5. Step 5: Solve for x
    x = 550,791,075,409/363,058
  6. Step 6: Final answer
    x = 1,517,088.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.