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Finding the Third Proportional to 569,664 and 858,148

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Solution

The third proportional to 569,664 and 858,148 is: 1,292,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,664 : 858,148 = 858,148 : x
  2. Step 2: Convert to fraction form
    569,664/858,148 = 858,148/x
  3. Step 3: Cross multiply
    569,664x = 858,148 × 858,148
  4. Step 4: Simplify right side
    569,664x = 736,417,989,904
  5. Step 5: Solve for x
    x = 736,417,989,904/569,664
  6. Step 6: Final answer
    x = 1,292,723.41

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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.