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Finding the Third Proportional to 229,632 and 362,056

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Solution

The third proportional to 229,632 and 362,056 is: 570,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,632 : 362,056 = 362,056 : x
  2. Step 2: Convert to fraction form
    229,632/362,056 = 362,056/x
  3. Step 3: Cross multiply
    229,632x = 362,056 × 362,056
  4. Step 4: Simplify right side
    229,632x = 131,084,547,136
  5. Step 5: Solve for x
    x = 131,084,547,136/229,632
  6. Step 6: Final answer
    x = 570,846.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.