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Finding the Third Proportional to 319,560,673.50 and 688,486,432.50

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Solution

The third proportional to 319,560,673.50 and 688,486,432.50 is: 1,483,328,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,560,673.50 : 688,486,432.50 = 688,486,432.50 : x
  2. Step 2: Convert to fraction form
    319,560,673.50/688,486,432.50 = 688,486,432.50/x
  3. Step 3: Cross multiply
    319,560,673.50x = 688,486,432.50 × 688,486,432.50
  4. Step 4: Simplify right side
    319,560,673.50x = 474,013,567,736,577,088
  5. Step 5: Solve for x
    x = 474,013,567,736,577,088/319,560,673.50
  6. Step 6: Final answer
    x = 1,483,328,854.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.