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Finding the Third Proportional to 369,370 and 795,237

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Solution

The third proportional to 369,370 and 795,237 is: 1,712,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,370 : 795,237 = 795,237 : x
  2. Step 2: Convert to fraction form
    369,370/795,237 = 795,237/x
  3. Step 3: Cross multiply
    369,370x = 795,237 × 795,237
  4. Step 4: Simplify right side
    369,370x = 632,401,886,169
  5. Step 5: Solve for x
    x = 632,401,886,169/369,370
  6. Step 6: Final answer
    x = 1,712,109.50

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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.