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Finding the Third Proportional to 565,070 and 853,365

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Solution

The third proportional to 565,070 and 853,365 is: 1,288,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,070 : 853,365 = 853,365 : x
  2. Step 2: Convert to fraction form
    565,070/853,365 = 853,365/x
  3. Step 3: Cross multiply
    565,070x = 853,365 × 853,365
  4. Step 4: Simplify right side
    565,070x = 728,231,823,225
  5. Step 5: Solve for x
    x = 728,231,823,225/565,070
  6. Step 6: Final answer
    x = 1,288,746.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.