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Finding the Third Proportional to 287,136 and 427,898.25

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Solution

The third proportional to 287,136 and 427,898.25 is: 637,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,136 : 427,898.25 = 427,898.25 : x
  2. Step 2: Convert to fraction form
    287,136/427,898.25 = 427,898.25/x
  3. Step 3: Cross multiply
    287,136x = 427,898.25 × 427,898.25
  4. Step 4: Simplify right side
    287,136x = 183,096,912,353.06
  5. Step 5: Solve for x
    x = 183,096,912,353.06/287,136
  6. Step 6: Final answer
    x = 637,666.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.