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Finding the Third Proportional to 504,948 and 758,730

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Solution

The third proportional to 504,948 and 758,730 is: 1,140,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,948 : 758,730 = 758,730 : x
  2. Step 2: Convert to fraction form
    504,948/758,730 = 758,730/x
  3. Step 3: Cross multiply
    504,948x = 758,730 × 758,730
  4. Step 4: Simplify right side
    504,948x = 575,671,212,900
  5. Step 5: Solve for x
    x = 575,671,212,900/504,948
  6. Step 6: Final answer
    x = 1,140,060.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.