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Finding the Third Proportional to 293,064 and 632,784

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Solution

The third proportional to 293,064 and 632,784 is: 1,366,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,064 : 632,784 = 632,784 : x
  2. Step 2: Convert to fraction form
    293,064/632,784 = 632,784/x
  3. Step 3: Cross multiply
    293,064x = 632,784 × 632,784
  4. Step 4: Simplify right side
    293,064x = 400,415,590,656
  5. Step 5: Solve for x
    x = 400,415,590,656/293,064
  6. Step 6: Final answer
    x = 1,366,307.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.