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Finding the Third Proportional to 608,523.75 and 963,582

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Solution

The third proportional to 608,523.75 and 963,582 is: 1,525,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,523.75 : 963,582 = 963,582 : x
  2. Step 2: Convert to fraction form
    608,523.75/963,582 = 963,582/x
  3. Step 3: Cross multiply
    608,523.75x = 963,582 × 963,582
  4. Step 4: Simplify right side
    608,523.75x = 928,490,270,724
  5. Step 5: Solve for x
    x = 928,490,270,724/608,523.75
  6. Step 6: Final answer
    x = 1,525,807.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.