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Finding the Third Proportional to 362,842,310.25 and 560,303,901

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Solution

The third proportional to 362,842,310.25 and 560,303,901 is: 865,225,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,842,310.25 : 560,303,901 = 560,303,901 : x
  2. Step 2: Convert to fraction form
    362,842,310.25/560,303,901 = 560,303,901/x
  3. Step 3: Cross multiply
    362,842,310.25x = 560,303,901 × 560,303,901
  4. Step 4: Simplify right side
    362,842,310.25x = 313,940,461,475,817,792
  5. Step 5: Solve for x
    x = 313,940,461,475,817,792/362,842,310.25
  6. Step 6: Final answer
    x = 865,225,616.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.