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Finding the Third Proportional to 345,421,235 and 493,956,160

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Solution

The third proportional to 345,421,235 and 493,956,160 is: 706,362,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421,235 : 493,956,160 = 493,956,160 : x
  2. Step 2: Convert to fraction form
    345,421,235/493,956,160 = 493,956,160/x
  3. Step 3: Cross multiply
    345,421,235x = 493,956,160 × 493,956,160
  4. Step 4: Simplify right side
    345,421,235x = 243,992,688,001,945,600
  5. Step 5: Solve for x
    x = 243,992,688,001,945,600/345,421,235
  6. Step 6: Final answer
    x = 706,362,734.19

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Why These Related Problems?

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