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Finding the Third Proportional to 510,310.50 and 750,702

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Solution

The third proportional to 510,310.50 and 750,702 is: 1,104,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,310.50 : 750,702 = 750,702 : x
  2. Step 2: Convert to fraction form
    510,310.50/750,702 = 750,702/x
  3. Step 3: Cross multiply
    510,310.50x = 750,702 × 750,702
  4. Step 4: Simplify right side
    510,310.50x = 563,553,492,804
  5. Step 5: Solve for x
    x = 563,553,492,804/510,310.50
  6. Step 6: Final answer
    x = 1,104,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.