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Finding the Third Proportional to 415,620 and 594,360

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Solution

The third proportional to 415,620 and 594,360 is: 849,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,620 : 594,360 = 594,360 : x
  2. Step 2: Convert to fraction form
    415,620/594,360 = 594,360/x
  3. Step 3: Cross multiply
    415,620x = 594,360 × 594,360
  4. Step 4: Simplify right side
    415,620x = 353,263,809,600
  5. Step 5: Solve for x
    x = 353,263,809,600/415,620
  6. Step 6: Final answer
    x = 849,968.26

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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.