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Finding the Third Proportional to 375,324 and 553,056

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Solution

The third proportional to 375,324 and 553,056 is: 814,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,324 : 553,056 = 553,056 : x
  2. Step 2: Convert to fraction form
    375,324/553,056 = 553,056/x
  3. Step 3: Cross multiply
    375,324x = 553,056 × 553,056
  4. Step 4: Simplify right side
    375,324x = 305,870,939,136
  5. Step 5: Solve for x
    x = 305,870,939,136/375,324
  6. Step 6: Final answer
    x = 814,951.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.