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Finding the Third Proportional to 346,423,488 and 717,402,602.50

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Solution

The third proportional to 346,423,488 and 717,402,602.50 is: 1,485,657,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,423,488 : 717,402,602.50 = 717,402,602.50 : x
  2. Step 2: Convert to fraction form
    346,423,488/717,402,602.50 = 717,402,602.50/x
  3. Step 3: Cross multiply
    346,423,488x = 717,402,602.50 × 717,402,602.50
  4. Step 4: Simplify right side
    346,423,488x = 514,666,494,073,772,992
  5. Step 5: Solve for x
    x = 514,666,494,073,772,992/346,423,488
  6. Step 6: Final answer
    x = 1,485,657,040.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.