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Finding the Third Proportional to 242,726 and 528,060

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Solution

The third proportional to 242,726 and 528,060 is: 1,148,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,726 : 528,060 = 528,060 : x
  2. Step 2: Convert to fraction form
    242,726/528,060 = 528,060/x
  3. Step 3: Cross multiply
    242,726x = 528,060 × 528,060
  4. Step 4: Simplify right side
    242,726x = 278,847,363,600
  5. Step 5: Solve for x
    x = 278,847,363,600/242,726
  6. Step 6: Final answer
    x = 1,148,815.39

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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.