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Finding the Third Proportional to 549,278 and 783,967

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Solution

The third proportional to 549,278 and 783,967 is: 1,118,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,278 : 783,967 = 783,967 : x
  2. Step 2: Convert to fraction form
    549,278/783,967 = 783,967/x
  3. Step 3: Cross multiply
    549,278x = 783,967 × 783,967
  4. Step 4: Simplify right side
    549,278x = 614,604,257,089
  5. Step 5: Solve for x
    x = 614,604,257,089/549,278
  6. Step 6: Final answer
    x = 1,118,931.14

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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.