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Finding the Third Proportional to 242,490 and 526,947

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Solution

The third proportional to 242,490 and 526,947 is: 1,145,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,490 : 526,947 = 526,947 : x
  2. Step 2: Convert to fraction form
    242,490/526,947 = 526,947/x
  3. Step 3: Cross multiply
    242,490x = 526,947 × 526,947
  4. Step 4: Simplify right side
    242,490x = 277,673,140,809
  5. Step 5: Solve for x
    x = 277,673,140,809/242,490
  6. Step 6: Final answer
    x = 1,145,091.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.