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Finding the Third Proportional to 700,348 and 1,365,700

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Solution

The third proportional to 700,348 and 1,365,700 is: 2,663,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,348 : 1,365,700 = 1,365,700 : x
  2. Step 2: Convert to fraction form
    700,348/1,365,700 = 1,365,700/x
  3. Step 3: Cross multiply
    700,348x = 1,365,700 × 1,365,700
  4. Step 4: Simplify right side
    700,348x = 1,865,136,490,000
  5. Step 5: Solve for x
    x = 1,865,136,490,000/700,348
  6. Step 6: Final answer
    x = 2,663,156.73

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.