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Finding the Third Proportional to 369,500,547 and 516,583,512

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Solution

The third proportional to 369,500,547 and 516,583,512 is: 722,214,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,500,547 : 516,583,512 = 516,583,512 : x
  2. Step 2: Convert to fraction form
    369,500,547/516,583,512 = 516,583,512/x
  3. Step 3: Cross multiply
    369,500,547x = 516,583,512 × 516,583,512
  4. Step 4: Simplify right side
    369,500,547x = 266,858,524,870,254,144
  5. Step 5: Solve for x
    x = 266,858,524,870,254,144/369,500,547
  6. Step 6: Final answer
    x = 722,214,153.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.