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Finding the Third Proportional to 237,817,224 and 347,549,580

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Solution

The third proportional to 237,817,224 and 347,549,580 is: 507,914,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,817,224 : 347,549,580 = 347,549,580 : x
  2. Step 2: Convert to fraction form
    237,817,224/347,549,580 = 347,549,580/x
  3. Step 3: Cross multiply
    237,817,224x = 347,549,580 × 347,549,580
  4. Step 4: Simplify right side
    237,817,224x = 120,790,710,558,176,400
  5. Step 5: Solve for x
    x = 120,790,710,558,176,400/237,817,224
  6. Step 6: Final answer
    x = 507,914,054.86

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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.