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Finding the Third Proportional to 438,784 and 958,784

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Solution

The third proportional to 438,784 and 958,784 is: 2,095,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,784 : 958,784 = 958,784 : x
  2. Step 2: Convert to fraction form
    438,784/958,784 = 958,784/x
  3. Step 3: Cross multiply
    438,784x = 958,784 × 958,784
  4. Step 4: Simplify right side
    438,784x = 919,266,758,656
  5. Step 5: Solve for x
    x = 919,266,758,656/438,784
  6. Step 6: Final answer
    x = 2,095,032.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.