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Finding the Third Proportional to 506,280,861 and 760,769,293.50

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Solution

The third proportional to 506,280,861 and 760,769,293.50 is: 1,143,179,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,280,861 : 760,769,293.50 = 760,769,293.50 : x
  2. Step 2: Convert to fraction form
    506,280,861/760,769,293.50 = 760,769,293.50/x
  3. Step 3: Cross multiply
    506,280,861x = 760,769,293.50 × 760,769,293.50
  4. Step 4: Simplify right side
    506,280,861x = 578,769,917,932,489,088
  5. Step 5: Solve for x
    x = 578,769,917,932,489,088/506,280,861
  6. Step 6: Final answer
    x = 1,143,179,532.38

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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.