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Finding the Third Proportional to 272,521.50 and 390,097.50

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Solution

The third proportional to 272,521.50 and 390,097.50 is: 558,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,521.50 : 390,097.50 = 390,097.50 : x
  2. Step 2: Convert to fraction form
    272,521.50/390,097.50 = 390,097.50/x
  3. Step 3: Cross multiply
    272,521.50x = 390,097.50 × 390,097.50
  4. Step 4: Simplify right side
    272,521.50x = 152,176,059,506.25
  5. Step 5: Solve for x
    x = 152,176,059,506.25/272,521.50
  6. Step 6: Final answer
    x = 558,400.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.