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Finding the Third Proportional to 312,844,545 and 473,293,331

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Solution

The third proportional to 312,844,545 and 473,293,331 is: 716,031,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,545 : 473,293,331 = 473,293,331 : x
  2. Step 2: Convert to fraction form
    312,844,545/473,293,331 = 473,293,331/x
  3. Step 3: Cross multiply
    312,844,545x = 473,293,331 × 473,293,331
  4. Step 4: Simplify right side
    312,844,545x = 224,006,577,169,075,552
  5. Step 5: Solve for x
    x = 224,006,577,169,075,552/312,844,545
  6. Step 6: Final answer
    x = 716,031,590.61

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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.