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Finding the Third Proportional to 584,415 and 882,940.50

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Solution

The third proportional to 584,415 and 882,940.50 is: 1,333,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,415 : 882,940.50 = 882,940.50 : x
  2. Step 2: Convert to fraction form
    584,415/882,940.50 = 882,940.50/x
  3. Step 3: Cross multiply
    584,415x = 882,940.50 × 882,940.50
  4. Step 4: Simplify right side
    584,415x = 779,583,926,540.25
  5. Step 5: Solve for x
    x = 779,583,926,540.25/584,415
  6. Step 6: Final answer
    x = 1,333,956.05

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Why These Related Problems?

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