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Finding the Third Proportional to 522,969 and 808,106

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Solution

The third proportional to 522,969 and 808,106 is: 1,248,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,969 : 808,106 = 808,106 : x
  2. Step 2: Convert to fraction form
    522,969/808,106 = 808,106/x
  3. Step 3: Cross multiply
    522,969x = 808,106 × 808,106
  4. Step 4: Simplify right side
    522,969x = 653,035,307,236
  5. Step 5: Solve for x
    x = 653,035,307,236/522,969
  6. Step 6: Final answer
    x = 1,248,707.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.