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Finding the Third Proportional to 732,765 and 1,045,930.50

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Solution

The third proportional to 732,765 and 1,045,930.50 is: 1,492,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,765 : 1,045,930.50 = 1,045,930.50 : x
  2. Step 2: Convert to fraction form
    732,765/1,045,930.50 = 1,045,930.50/x
  3. Step 3: Cross multiply
    732,765x = 1,045,930.50 × 1,045,930.50
  4. Step 4: Simplify right side
    732,765x = 1,093,970,610,830.25
  5. Step 5: Solve for x
    x = 1,093,970,610,830.25/732,765
  6. Step 6: Final answer
    x = 1,492,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.