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Finding the Third Proportional to 377,922,984.75 and 540,430,510.50

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Solution

The third proportional to 377,922,984.75 and 540,430,510.50 is: 772,816,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,922,984.75 : 540,430,510.50 = 540,430,510.50 : x
  2. Step 2: Convert to fraction form
    377,922,984.75/540,430,510.50 = 540,430,510.50/x
  3. Step 3: Cross multiply
    377,922,984.75x = 540,430,510.50 × 540,430,510.50
  4. Step 4: Simplify right side
    377,922,984.75x = 292,065,136,679,290,624
  5. Step 5: Solve for x
    x = 292,065,136,679,290,624/377,922,984.75
  6. Step 6: Final answer
    x = 772,816,548.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.