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Finding the Third Proportional to 513,352 and 793,356

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Solution

The third proportional to 513,352 and 793,356 is: 1,226,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,352 : 793,356 = 793,356 : x
  2. Step 2: Convert to fraction form
    513,352/793,356 = 793,356/x
  3. Step 3: Cross multiply
    513,352x = 793,356 × 793,356
  4. Step 4: Simplify right side
    513,352x = 629,413,742,736
  5. Step 5: Solve for x
    x = 629,413,742,736/513,352
  6. Step 6: Final answer
    x = 1,226,086.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.