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Finding the Third Proportional to 369,407 and 795,316

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Solution

The third proportional to 369,407 and 795,316 is: 1,712,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,407 : 795,316 = 795,316 : x
  2. Step 2: Convert to fraction form
    369,407/795,316 = 795,316/x
  3. Step 3: Cross multiply
    369,407x = 795,316 × 795,316
  4. Step 4: Simplify right side
    369,407x = 632,527,539,856
  5. Step 5: Solve for x
    x = 632,527,539,856/369,407
  6. Step 6: Final answer
    x = 1,712,278.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.