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Finding the Third Proportional to 376,768 and 565,158

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Solution

The third proportional to 376,768 and 565,158 is: 847,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,768 : 565,158 = 565,158 : x
  2. Step 2: Convert to fraction form
    376,768/565,158 = 565,158/x
  3. Step 3: Cross multiply
    376,768x = 565,158 × 565,158
  4. Step 4: Simplify right side
    376,768x = 319,403,564,964
  5. Step 5: Solve for x
    x = 319,403,564,964/376,768
  6. Step 6: Final answer
    x = 847,746.00

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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.