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Finding the Third Proportional to 357,341.25 and 785,526

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Solution

The third proportional to 357,341.25 and 785,526 is: 1,726,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,341.25 : 785,526 = 785,526 : x
  2. Step 2: Convert to fraction form
    357,341.25/785,526 = 785,526/x
  3. Step 3: Cross multiply
    357,341.25x = 785,526 × 785,526
  4. Step 4: Simplify right side
    357,341.25x = 617,051,096,676
  5. Step 5: Solve for x
    x = 617,051,096,676/357,341.25
  6. Step 6: Final answer
    x = 1,726,783.84

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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.