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Finding the Third Proportional to 436,075.31 and 924,980.34

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Solution

The third proportional to 436,075.31 and 924,980.34 is: 1,962,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,075.31 : 924,980.34 = 924,980.34 : x
  2. Step 2: Convert to fraction form
    436,075.31/924,980.34 = 924,980.34/x
  3. Step 3: Cross multiply
    436,075.31x = 924,980.34 × 924,980.34
  4. Step 4: Simplify right side
    436,075.31x = 855,588,636,323.87
  5. Step 5: Solve for x
    x = 855,588,636,323.87/436,075.31
  6. Step 6: Final answer
    x = 1,962,020.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.