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Finding the Third Proportional to 577,164 and 786,255

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Solution

The third proportional to 577,164 and 786,255 is: 1,071,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,164 : 786,255 = 786,255 : x
  2. Step 2: Convert to fraction form
    577,164/786,255 = 786,255/x
  3. Step 3: Cross multiply
    577,164x = 786,255 × 786,255
  4. Step 4: Simplify right side
    577,164x = 618,196,925,025
  5. Step 5: Solve for x
    x = 618,196,925,025/577,164
  6. Step 6: Final answer
    x = 1,071,094.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.