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Finding the Third Proportional to 501,286,608 and 730,115,640

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Solution

The third proportional to 501,286,608 and 730,115,640 is: 1,063,401,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,286,608 : 730,115,640 = 730,115,640 : x
  2. Step 2: Convert to fraction form
    501,286,608/730,115,640 = 730,115,640/x
  3. Step 3: Cross multiply
    501,286,608x = 730,115,640 × 730,115,640
  4. Step 4: Simplify right side
    501,286,608x = 533,068,847,772,609,600
  5. Step 5: Solve for x
    x = 533,068,847,772,609,600/501,286,608
  6. Step 6: Final answer
    x = 1,063,401,334.22

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Why These Related Problems?

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