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Finding the Third Proportional to 235,276.50 and 509,304

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Solution

The third proportional to 235,276.50 and 509,304 is: 1,102,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,276.50 : 509,304 = 509,304 : x
  2. Step 2: Convert to fraction form
    235,276.50/509,304 = 509,304/x
  3. Step 3: Cross multiply
    235,276.50x = 509,304 × 509,304
  4. Step 4: Simplify right side
    235,276.50x = 259,390,564,416
  5. Step 5: Solve for x
    x = 259,390,564,416/235,276.50
  6. Step 6: Final answer
    x = 1,102,492.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.