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Finding the Third Proportional to 308,312,522 and 727,586,224

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Solution

The third proportional to 308,312,522 and 727,586,224 is: 1,717,029,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,312,522 : 727,586,224 = 727,586,224 : x
  2. Step 2: Convert to fraction form
    308,312,522/727,586,224 = 727,586,224/x
  3. Step 3: Cross multiply
    308,312,522x = 727,586,224 × 727,586,224
  4. Step 4: Simplify right side
    308,312,522x = 529,381,713,354,578,176
  5. Step 5: Solve for x
    x = 529,381,713,354,578,176/308,312,522
  6. Step 6: Final answer
    x = 1,717,029,557.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.