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Finding the Third Proportional to 319,468,524 and 456,527,968

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Solution

The third proportional to 319,468,524 and 456,527,968 is: 652,389,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,468,524 : 456,527,968 = 456,527,968 : x
  2. Step 2: Convert to fraction form
    319,468,524/456,527,968 = 456,527,968/x
  3. Step 3: Cross multiply
    319,468,524x = 456,527,968 × 456,527,968
  4. Step 4: Simplify right side
    319,468,524x = 208,417,785,566,209,024
  5. Step 5: Solve for x
    x = 208,417,785,566,209,024/319,468,524
  6. Step 6: Final answer
    x = 652,389,108.50

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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.