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Finding the Third Proportional to 312,845,360 and 473,294,600

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Solution

The third proportional to 312,845,360 and 473,294,600 is: 716,033,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,845,360 : 473,294,600 = 473,294,600 : x
  2. Step 2: Convert to fraction form
    312,845,360/473,294,600 = 473,294,600/x
  3. Step 3: Cross multiply
    312,845,360x = 473,294,600 × 473,294,600
  4. Step 4: Simplify right side
    312,845,360x = 224,007,778,389,160,000
  5. Step 5: Solve for x
    x = 224,007,778,389,160,000/312,845,360
  6. Step 6: Final answer
    x = 716,033,564.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.