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Finding the Third Proportional to 588,088 and 879,816

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Solution

The third proportional to 588,088 and 879,816 is: 1,316,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,088 : 879,816 = 879,816 : x
  2. Step 2: Convert to fraction form
    588,088/879,816 = 879,816/x
  3. Step 3: Cross multiply
    588,088x = 879,816 × 879,816
  4. Step 4: Simplify right side
    588,088x = 774,076,193,856
  5. Step 5: Solve for x
    x = 774,076,193,856/588,088
  6. Step 6: Final answer
    x = 1,316,259.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.