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Finding the Third Proportional to 358,502,176 and 730,160,064

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Solution

The third proportional to 358,502,176 and 730,160,064 is: 1,487,114,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,502,176 : 730,160,064 = 730,160,064 : x
  2. Step 2: Convert to fraction form
    358,502,176/730,160,064 = 730,160,064/x
  3. Step 3: Cross multiply
    358,502,176x = 730,160,064 × 730,160,064
  4. Step 4: Simplify right side
    358,502,176x = 533,133,719,060,484,096
  5. Step 5: Solve for x
    x = 533,133,719,060,484,096/358,502,176
  6. Step 6: Final answer
    x = 1,487,114,318.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.