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Finding the Third Proportional to 568,308 and 947,046

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Solution

The third proportional to 568,308 and 947,046 is: 1,578,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,308 : 947,046 = 947,046 : x
  2. Step 2: Convert to fraction form
    568,308/947,046 = 947,046/x
  3. Step 3: Cross multiply
    568,308x = 947,046 × 947,046
  4. Step 4: Simplify right side
    568,308x = 896,896,126,116
  5. Step 5: Solve for x
    x = 896,896,126,116/568,308
  6. Step 6: Final answer
    x = 1,578,186.70

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.