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Finding the Third Proportional to 312,844,169.81 and 473,292,657.56

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Solution

The third proportional to 312,844,169.81 and 473,292,657.56 is: 716,030,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,169.81 : 473,292,657.56 = 473,292,657.56 : x
  2. Step 2: Convert to fraction form
    312,844,169.81/473,292,657.56 = 473,292,657.56/x
  3. Step 3: Cross multiply
    312,844,169.81x = 473,292,657.56 × 473,292,657.56
  4. Step 4: Simplify right side
    312,844,169.81x = 224,005,939,702,573,888
  5. Step 5: Solve for x
    x = 224,005,939,702,573,888/312,844,169.81
  6. Step 6: Final answer
    x = 716,030,411.68

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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.