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Finding the Third Proportional to 657,360 and 939,384

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Solution

The third proportional to 657,360 and 939,384 is: 1,342,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,360 : 939,384 = 939,384 : x
  2. Step 2: Convert to fraction form
    657,360/939,384 = 939,384/x
  3. Step 3: Cross multiply
    657,360x = 939,384 × 939,384
  4. Step 4: Simplify right side
    657,360x = 882,442,299,456
  5. Step 5: Solve for x
    x = 882,442,299,456/657,360
  6. Step 6: Final answer
    x = 1,342,403.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.