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Finding the Third Proportional to 590,136 and 865,837.50

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Solution

The third proportional to 590,136 and 865,837.50 is: 1,270,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,136 : 865,837.50 = 865,837.50 : x
  2. Step 2: Convert to fraction form
    590,136/865,837.50 = 865,837.50/x
  3. Step 3: Cross multiply
    590,136x = 865,837.50 × 865,837.50
  4. Step 4: Simplify right side
    590,136x = 749,674,576,406.25
  5. Step 5: Solve for x
    x = 749,674,576,406.25/590,136
  6. Step 6: Final answer
    x = 1,270,342.05

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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.