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Finding the Third Proportional to 370,425 and 571,030.50

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Solution

The third proportional to 370,425 and 571,030.50 is: 880,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,425 : 571,030.50 = 571,030.50 : x
  2. Step 2: Convert to fraction form
    370,425/571,030.50 = 571,030.50/x
  3. Step 3: Cross multiply
    370,425x = 571,030.50 × 571,030.50
  4. Step 4: Simplify right side
    370,425x = 326,075,831,930.25
  5. Step 5: Solve for x
    x = 326,075,831,930.25/370,425
  6. Step 6: Final answer
    x = 880,274.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.