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Finding the Third Proportional to 235,070 and 509,506

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Solution

The third proportional to 235,070 and 509,506 is: 1,104,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,070 : 509,506 = 509,506 : x
  2. Step 2: Convert to fraction form
    235,070/509,506 = 509,506/x
  3. Step 3: Cross multiply
    235,070x = 509,506 × 509,506
  4. Step 4: Simplify right side
    235,070x = 259,596,364,036
  5. Step 5: Solve for x
    x = 259,596,364,036/235,070
  6. Step 6: Final answer
    x = 1,104,336.43

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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.