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Finding the Third Proportional to 585,603 and 859,936.50

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Solution

The third proportional to 585,603 and 859,936.50 is: 1,262,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,603 : 859,936.50 = 859,936.50 : x
  2. Step 2: Convert to fraction form
    585,603/859,936.50 = 859,936.50/x
  3. Step 3: Cross multiply
    585,603x = 859,936.50 × 859,936.50
  4. Step 4: Simplify right side
    585,603x = 739,490,784,032.25
  5. Step 5: Solve for x
    x = 739,490,784,032.25/585,603
  6. Step 6: Final answer
    x = 1,262,785.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.