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Finding the Third Proportional to 501,286,610 and 730,115,643

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Solution

The third proportional to 501,286,610 and 730,115,643 is: 1,063,401,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,286,610 : 730,115,643 = 730,115,643 : x
  2. Step 2: Convert to fraction form
    501,286,610/730,115,643 = 730,115,643/x
  3. Step 3: Cross multiply
    501,286,610x = 730,115,643 × 730,115,643
  4. Step 4: Simplify right side
    501,286,610x = 533,068,852,153,303,424
  5. Step 5: Solve for x
    x = 533,068,852,153,303,424/501,286,610
  6. Step 6: Final answer
    x = 1,063,401,338.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.