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Finding the Third Proportional to 498,629,994 and 745,154,217

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Solution

The third proportional to 498,629,994 and 745,154,217 is: 1,113,560,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,629,994 : 745,154,217 = 745,154,217 : x
  2. Step 2: Convert to fraction form
    498,629,994/745,154,217 = 745,154,217/x
  3. Step 3: Cross multiply
    498,629,994x = 745,154,217 × 745,154,217
  4. Step 4: Simplify right side
    498,629,994x = 555,254,807,112,883,072
  5. Step 5: Solve for x
    x = 555,254,807,112,883,072/498,629,994
  6. Step 6: Final answer
    x = 1,113,560,784.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.