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Finding the Third Proportional to 359,160 and 785,630.50

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Solution

The third proportional to 359,160 and 785,630.50 is: 1,718,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,160 : 785,630.50 = 785,630.50 : x
  2. Step 2: Convert to fraction form
    359,160/785,630.50 = 785,630.50/x
  3. Step 3: Cross multiply
    359,160x = 785,630.50 × 785,630.50
  4. Step 4: Simplify right side
    359,160x = 617,215,282,530.25
  5. Step 5: Solve for x
    x = 617,215,282,530.25/359,160
  6. Step 6: Final answer
    x = 1,718,496.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.