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Finding the Third Proportional to 591,263.50 and 913,492

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Solution

The third proportional to 591,263.50 and 913,492 is: 1,411,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,263.50 : 913,492 = 913,492 : x
  2. Step 2: Convert to fraction form
    591,263.50/913,492 = 913,492/x
  3. Step 3: Cross multiply
    591,263.50x = 913,492 × 913,492
  4. Step 4: Simplify right side
    591,263.50x = 834,467,634,064
  5. Step 5: Solve for x
    x = 834,467,634,064/591,263.50
  6. Step 6: Final answer
    x = 1,411,329.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.