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Finding the Third Proportional to 549,696 and 783,968

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Solution

The third proportional to 549,696 and 783,968 is: 1,118,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,696 : 783,968 = 783,968 : x
  2. Step 2: Convert to fraction form
    549,696/783,968 = 783,968/x
  3. Step 3: Cross multiply
    549,696x = 783,968 × 783,968
  4. Step 4: Simplify right side
    549,696x = 614,605,825,024
  5. Step 5: Solve for x
    x = 614,605,825,024/549,696
  6. Step 6: Final answer
    x = 1,118,083.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.