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Finding the Third Proportional to 369,580 and 798,248

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Solution

The third proportional to 369,580 and 798,248 is: 1,724,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,580 : 798,248 = 798,248 : x
  2. Step 2: Convert to fraction form
    369,580/798,248 = 798,248/x
  3. Step 3: Cross multiply
    369,580x = 798,248 × 798,248
  4. Step 4: Simplify right side
    369,580x = 637,199,869,504
  5. Step 5: Solve for x
    x = 637,199,869,504/369,580
  6. Step 6: Final answer
    x = 1,724,118.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.