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Finding the Third Proportional to 536,061 and 829,282.50

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Solution

The third proportional to 536,061 and 829,282.50 is: 1,282,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,061 : 829,282.50 = 829,282.50 : x
  2. Step 2: Convert to fraction form
    536,061/829,282.50 = 829,282.50/x
  3. Step 3: Cross multiply
    536,061x = 829,282.50 × 829,282.50
  4. Step 4: Simplify right side
    536,061x = 687,709,464,806.25
  5. Step 5: Solve for x
    x = 687,709,464,806.25/536,061
  6. Step 6: Final answer
    x = 1,282,894.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.