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Finding the Third Proportional to 256,072,050 and 604,291,860

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Solution

The third proportional to 256,072,050 and 604,291,860 is: 1,426,038,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,072,050 : 604,291,860 = 604,291,860 : x
  2. Step 2: Convert to fraction form
    256,072,050/604,291,860 = 604,291,860/x
  3. Step 3: Cross multiply
    256,072,050x = 604,291,860 × 604,291,860
  4. Step 4: Simplify right side
    256,072,050x = 365,168,652,062,259,584
  5. Step 5: Solve for x
    x = 365,168,652,062,259,584/256,072,050
  6. Step 6: Final answer
    x = 1,426,038,695.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.