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Finding the Third Proportional to 235,570 and 504,804

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Solution

The third proportional to 235,570 and 504,804 is: 1,081,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,570 : 504,804 = 504,804 : x
  2. Step 2: Convert to fraction form
    235,570/504,804 = 504,804/x
  3. Step 3: Cross multiply
    235,570x = 504,804 × 504,804
  4. Step 4: Simplify right side
    235,570x = 254,827,078,416
  5. Step 5: Solve for x
    x = 254,827,078,416/235,570
  6. Step 6: Final answer
    x = 1,081,746.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.