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Finding the Third Proportional to 310,852,764 and 674,154,300

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Solution

The third proportional to 310,852,764 and 674,154,300 is: 1,462,055,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852,764 : 674,154,300 = 674,154,300 : x
  2. Step 2: Convert to fraction form
    310,852,764/674,154,300 = 674,154,300/x
  3. Step 3: Cross multiply
    310,852,764x = 674,154,300 × 674,154,300
  4. Step 4: Simplify right side
    310,852,764x = 454,484,020,208,489,984
  5. Step 5: Solve for x
    x = 454,484,020,208,489,984/310,852,764
  6. Step 6: Final answer
    x = 1,462,055,586.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.