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Finding the Third Proportional to 242,208 and 528,008

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Solution

The third proportional to 242,208 and 528,008 is: 1,151,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,208 : 528,008 = 528,008 : x
  2. Step 2: Convert to fraction form
    242,208/528,008 = 528,008/x
  3. Step 3: Cross multiply
    242,208x = 528,008 × 528,008
  4. Step 4: Simplify right side
    242,208x = 278,792,448,064
  5. Step 5: Solve for x
    x = 278,792,448,064/242,208
  6. Step 6: Final answer
    x = 1,151,045.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.