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Finding the Third Proportional to 443,890 and 695,585

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Solution

The third proportional to 443,890 and 695,585 is: 1,089,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,890 : 695,585 = 695,585 : x
  2. Step 2: Convert to fraction form
    443,890/695,585 = 695,585/x
  3. Step 3: Cross multiply
    443,890x = 695,585 × 695,585
  4. Step 4: Simplify right side
    443,890x = 483,838,492,225
  5. Step 5: Solve for x
    x = 483,838,492,225/443,890
  6. Step 6: Final answer
    x = 1,089,996.38

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Why These Related Problems?

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