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Finding the Third Proportional to 595,720 and 911,264

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Solution

The third proportional to 595,720 and 911,264 is: 1,393,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,720 : 911,264 = 911,264 : x
  2. Step 2: Convert to fraction form
    595,720/911,264 = 911,264/x
  3. Step 3: Cross multiply
    595,720x = 911,264 × 911,264
  4. Step 4: Simplify right side
    595,720x = 830,402,077,696
  5. Step 5: Solve for x
    x = 830,402,077,696/595,720
  6. Step 6: Final answer
    x = 1,393,946.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.