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Finding the Third Proportional to 520,095,438 and 713,177,212.50

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Solution

The third proportional to 520,095,438 and 713,177,212.50 is: 977,939,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095,438 : 713,177,212.50 = 713,177,212.50 : x
  2. Step 2: Convert to fraction form
    520,095,438/713,177,212.50 = 713,177,212.50/x
  3. Step 3: Cross multiply
    520,095,438x = 713,177,212.50 × 713,177,212.50
  4. Step 4: Simplify right side
    520,095,438x = 508,621,736,429,270,144
  5. Step 5: Solve for x
    x = 508,621,736,429,270,144/520,095,438
  6. Step 6: Final answer
    x = 977,939,238.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.