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Finding the Third Proportional to 352,299,458 and 736,721,572

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Solution

The third proportional to 352,299,458 and 736,721,572 is: 1,540,617,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,299,458 : 736,721,572 = 736,721,572 : x
  2. Step 2: Convert to fraction form
    352,299,458/736,721,572 = 736,721,572/x
  3. Step 3: Cross multiply
    352,299,458x = 736,721,572 × 736,721,572
  4. Step 4: Simplify right side
    352,299,458x = 542,758,674,650,151,168
  5. Step 5: Solve for x
    x = 542,758,674,650,151,168/352,299,458
  6. Step 6: Final answer
    x = 1,540,617,398.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.