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Finding the Third Proportional to 296,370 and 648,036

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Solution

The third proportional to 296,370 and 648,036 is: 1,416,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,370 : 648,036 = 648,036 : x
  2. Step 2: Convert to fraction form
    296,370/648,036 = 648,036/x
  3. Step 3: Cross multiply
    296,370x = 648,036 × 648,036
  4. Step 4: Simplify right side
    296,370x = 419,950,657,296
  5. Step 5: Solve for x
    x = 419,950,657,296/296,370
  6. Step 6: Final answer
    x = 1,416,980.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.