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Finding the Third Proportional to 319,632 and 689,078

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Solution

The third proportional to 319,632 and 689,078 is: 1,485,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,632 : 689,078 = 689,078 : x
  2. Step 2: Convert to fraction form
    319,632/689,078 = 689,078/x
  3. Step 3: Cross multiply
    319,632x = 689,078 × 689,078
  4. Step 4: Simplify right side
    319,632x = 474,828,490,084
  5. Step 5: Solve for x
    x = 474,828,490,084/319,632
  6. Step 6: Final answer
    x = 1,485,547.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.