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Finding the Third Proportional to 319,856 and 478,024

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Solution

The third proportional to 319,856 and 478,024 is: 714,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,856 : 478,024 = 478,024 : x
  2. Step 2: Convert to fraction form
    319,856/478,024 = 478,024/x
  3. Step 3: Cross multiply
    319,856x = 478,024 × 478,024
  4. Step 4: Simplify right side
    319,856x = 228,506,944,576
  5. Step 5: Solve for x
    x = 228,506,944,576/319,856
  6. Step 6: Final answer
    x = 714,405.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.