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Finding the Third Proportional to 259,316 and 573,064

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Solution

The third proportional to 259,316 and 573,064 is: 1,266,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,316 : 573,064 = 573,064 : x
  2. Step 2: Convert to fraction form
    259,316/573,064 = 573,064/x
  3. Step 3: Cross multiply
    259,316x = 573,064 × 573,064
  4. Step 4: Simplify right side
    259,316x = 328,402,348,096
  5. Step 5: Solve for x
    x = 328,402,348,096/259,316
  6. Step 6: Final answer
    x = 1,266,417.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.