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Finding the Third Proportional to 510,494 and 750,998

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Solution

The third proportional to 510,494 and 750,998 is: 1,104,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,494 : 750,998 = 750,998 : x
  2. Step 2: Convert to fraction form
    510,494/750,998 = 750,998/x
  3. Step 3: Cross multiply
    510,494x = 750,998 × 750,998
  4. Step 4: Simplify right side
    510,494x = 563,997,996,004
  5. Step 5: Solve for x
    x = 563,997,996,004/510,494
  6. Step 6: Final answer
    x = 1,104,808.28

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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.