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Finding the Third Proportional to 323,692,506 and 473,249,763

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Solution

The third proportional to 323,692,506 and 473,249,763 is: 691,907,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,692,506 : 473,249,763 = 473,249,763 : x
  2. Step 2: Convert to fraction form
    323,692,506/473,249,763 = 473,249,763/x
  3. Step 3: Cross multiply
    323,692,506x = 473,249,763 × 473,249,763
  4. Step 4: Simplify right side
    323,692,506x = 223,965,338,179,556,160
  5. Step 5: Solve for x
    x = 223,965,338,179,556,160/323,692,506
  6. Step 6: Final answer
    x = 691,907,702.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.