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Finding the Third Proportional to 678,017 and 920,823.50

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Solution

The third proportional to 678,017 and 920,823.50 is: 1,250,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,017 : 920,823.50 = 920,823.50 : x
  2. Step 2: Convert to fraction form
    678,017/920,823.50 = 920,823.50/x
  3. Step 3: Cross multiply
    678,017x = 920,823.50 × 920,823.50
  4. Step 4: Simplify right side
    678,017x = 847,915,918,152.25
  5. Step 5: Solve for x
    x = 847,915,918,152.25/678,017
  6. Step 6: Final answer
    x = 1,250,582.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.