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Finding the Third Proportional to 506,024.72 and 760,495.08

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Solution

The third proportional to 506,024.72 and 760,495.08 is: 1,142,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,024.72 : 760,495.08 = 760,495.08 : x
  2. Step 2: Convert to fraction form
    506,024.72/760,495.08 = 760,495.08/x
  3. Step 3: Cross multiply
    506,024.72x = 760,495.08 × 760,495.08
  4. Step 4: Simplify right side
    506,024.72x = 578,352,763,852.35
  5. Step 5: Solve for x
    x = 578,352,763,852.35/506,024.72
  6. Step 6: Final answer
    x = 1,142,933.82

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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.