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Finding the Third Proportional to 506,835 and 758,746

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Solution

The third proportional to 506,835 and 758,746 is: 1,135,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,835 : 758,746 = 758,746 : x
  2. Step 2: Convert to fraction form
    506,835/758,746 = 758,746/x
  3. Step 3: Cross multiply
    506,835x = 758,746 × 758,746
  4. Step 4: Simplify right side
    506,835x = 575,695,492,516
  5. Step 5: Solve for x
    x = 575,695,492,516/506,835
  6. Step 6: Final answer
    x = 1,135,863.73

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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.