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Finding the Third Proportional to 443,894 and 695,590

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Solution

The third proportional to 443,894 and 695,590 is: 1,090,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,894 : 695,590 = 695,590 : x
  2. Step 2: Convert to fraction form
    443,894/695,590 = 695,590/x
  3. Step 3: Cross multiply
    443,894x = 695,590 × 695,590
  4. Step 4: Simplify right side
    443,894x = 483,845,448,100
  5. Step 5: Solve for x
    x = 483,845,448,100/443,894
  6. Step 6: Final answer
    x = 1,090,002.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.