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Finding the Third Proportional to 362,572 and 789,658

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Solution

The third proportional to 362,572 and 789,658 is: 1,719,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,572 : 789,658 = 789,658 : x
  2. Step 2: Convert to fraction form
    362,572/789,658 = 789,658/x
  3. Step 3: Cross multiply
    362,572x = 789,658 × 789,658
  4. Step 4: Simplify right side
    362,572x = 623,559,756,964
  5. Step 5: Solve for x
    x = 623,559,756,964/362,572
  6. Step 6: Final answer
    x = 1,719,823.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.