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Finding the Third Proportional to 596,663 and 903,660.50

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Solution

The third proportional to 596,663 and 903,660.50 is: 1,368,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,663 : 903,660.50 = 903,660.50 : x
  2. Step 2: Convert to fraction form
    596,663/903,660.50 = 903,660.50/x
  3. Step 3: Cross multiply
    596,663x = 903,660.50 × 903,660.50
  4. Step 4: Simplify right side
    596,663x = 816,602,299,260.25
  5. Step 5: Solve for x
    x = 816,602,299,260.25/596,663
  6. Step 6: Final answer
    x = 1,368,615.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.