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Finding the Third Proportional to 272,335.50 and 598,428

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Solution

The third proportional to 272,335.50 and 598,428 is: 1,314,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,335.50 : 598,428 = 598,428 : x
  2. Step 2: Convert to fraction form
    272,335.50/598,428 = 598,428/x
  3. Step 3: Cross multiply
    272,335.50x = 598,428 × 598,428
  4. Step 4: Simplify right side
    272,335.50x = 358,116,071,184
  5. Step 5: Solve for x
    x = 358,116,071,184/272,335.50
  6. Step 6: Final answer
    x = 1,314,981.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.