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Finding the Third Proportional to 345,692,998 and 760,338,521

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Solution

The third proportional to 345,692,998 and 760,338,521 is: 1,672,335,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,692,998 : 760,338,521 = 760,338,521 : x
  2. Step 2: Convert to fraction form
    345,692,998/760,338,521 = 760,338,521/x
  3. Step 3: Cross multiply
    345,692,998x = 760,338,521 × 760,338,521
  4. Step 4: Simplify right side
    345,692,998x = 578,114,666,516,467,456
  5. Step 5: Solve for x
    x = 578,114,666,516,467,456/345,692,998
  6. Step 6: Final answer
    x = 1,672,335,482.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.