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Finding the Third Proportional to 497,233,675 and 780,012,901.50

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Solution

The third proportional to 497,233,675 and 780,012,901.50 is: 1,223,610,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233,675 : 780,012,901.50 = 780,012,901.50 : x
  2. Step 2: Convert to fraction form
    497,233,675/780,012,901.50 = 780,012,901.50/x
  3. Step 3: Cross multiply
    497,233,675x = 780,012,901.50 × 780,012,901.50
  4. Step 4: Simplify right side
    497,233,675x = 608,420,126,506,448,640
  5. Step 5: Solve for x
    x = 608,420,126,506,448,640/497,233,675
  6. Step 6: Final answer
    x = 1,223,610,059.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.