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Finding the Third Proportional to 657,300 and 939,294

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Solution

The third proportional to 657,300 and 939,294 is: 1,342,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,300 : 939,294 = 939,294 : x
  2. Step 2: Convert to fraction form
    657,300/939,294 = 939,294/x
  3. Step 3: Cross multiply
    657,300x = 939,294 × 939,294
  4. Step 4: Simplify right side
    657,300x = 882,273,218,436
  5. Step 5: Solve for x
    x = 882,273,218,436/657,300
  6. Step 6: Final answer
    x = 1,342,268.70

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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.