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Finding the Third Proportional to 319,468,976 and 456,528,564

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Solution

The third proportional to 319,468,976 and 456,528,564 is: 652,389,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,468,976 : 456,528,564 = 456,528,564 : x
  2. Step 2: Convert to fraction form
    319,468,976/456,528,564 = 456,528,564/x
  3. Step 3: Cross multiply
    319,468,976x = 456,528,564 × 456,528,564
  4. Step 4: Simplify right side
    319,468,976x = 208,418,329,747,902,080
  5. Step 5: Solve for x
    x = 208,418,329,747,902,080/319,468,976
  6. Step 6: Final answer
    x = 652,389,888.86

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