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Finding the Third Proportional to 286,088 and 609,136

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Solution

The third proportional to 286,088 and 609,136 is: 1,296,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,088 : 609,136 = 609,136 : x
  2. Step 2: Convert to fraction form
    286,088/609,136 = 609,136/x
  3. Step 3: Cross multiply
    286,088x = 609,136 × 609,136
  4. Step 4: Simplify right side
    286,088x = 371,046,666,496
  5. Step 5: Solve for x
    x = 371,046,666,496/286,088
  6. Step 6: Final answer
    x = 1,296,966.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.