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Finding the Third Proportional to 357,052 and 740,348

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Solution

The third proportional to 357,052 and 740,348 is: 1,535,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,052 : 740,348 = 740,348 : x
  2. Step 2: Convert to fraction form
    357,052/740,348 = 740,348/x
  3. Step 3: Cross multiply
    357,052x = 740,348 × 740,348
  4. Step 4: Simplify right side
    357,052x = 548,115,161,104
  5. Step 5: Solve for x
    x = 548,115,161,104/357,052
  6. Step 6: Final answer
    x = 1,535,112.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.