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Finding the Third Proportional to 357,054 and 740,352

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Solution

The third proportional to 357,054 and 740,352 is: 1,535,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,054 : 740,352 = 740,352 : x
  2. Step 2: Convert to fraction form
    357,054/740,352 = 740,352/x
  3. Step 3: Cross multiply
    357,054x = 740,352 × 740,352
  4. Step 4: Simplify right side
    357,054x = 548,121,083,904
  5. Step 5: Solve for x
    x = 548,121,083,904/357,054
  6. Step 6: Final answer
    x = 1,535,120.97

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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.