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Finding the Third Proportional to 520,095,437 and 713,177,211

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Solution

The third proportional to 520,095,437 and 713,177,211 is: 977,939,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095,437 : 713,177,211 = 713,177,211 : x
  2. Step 2: Convert to fraction form
    520,095,437/713,177,211 = 713,177,211/x
  3. Step 3: Cross multiply
    520,095,437x = 713,177,211 × 713,177,211
  4. Step 4: Simplify right side
    520,095,437x = 508,621,734,289,738,496
  5. Step 5: Solve for x
    x = 508,621,734,289,738,496/520,095,437
  6. Step 6: Final answer
    x = 977,939,235.97

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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.