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Finding the Third Proportional to 357,402 and 785,880

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Solution

The third proportional to 357,402 and 785,880 is: 1,728,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,402 : 785,880 = 785,880 : x
  2. Step 2: Convert to fraction form
    357,402/785,880 = 785,880/x
  3. Step 3: Cross multiply
    357,402x = 785,880 × 785,880
  4. Step 4: Simplify right side
    357,402x = 617,607,374,400
  5. Step 5: Solve for x
    x = 617,607,374,400/357,402
  6. Step 6: Final answer
    x = 1,728,046.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.