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Finding the Third Proportional to 504,808,429 and 755,194,681.50

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Solution

The third proportional to 504,808,429 and 755,194,681.50 is: 1,129,773,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,808,429 : 755,194,681.50 = 755,194,681.50 : x
  2. Step 2: Convert to fraction form
    504,808,429/755,194,681.50 = 755,194,681.50/x
  3. Step 3: Cross multiply
    504,808,429x = 755,194,681.50 × 755,194,681.50
  4. Step 4: Simplify right side
    504,808,429x = 570,319,006,965,886,464
  5. Step 5: Solve for x
    x = 570,319,006,965,886,464/504,808,429
  6. Step 6: Final answer
    x = 1,129,773,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.